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1157172048 = 243317198293
BaseRepresentation
bin100010011111001…
…0000101101010000
32222122102102122000
41010332100231100
54332214001143
6310454114000
740450541304
oct10476205520
92878372560
101157172048
1154421453a
1228364b900
1315597a6b6
14ad981d04
156b8cabd3
hex44f90b50

1157172048 has 160 divisors (see below), whose sum is σ = 3702441600. Its totient is φ = 343885824.

The previous prime is 1157172019. The next prime is 1157172059. The reversal of 1157172048 is 8402717511.

1157172048 is a `hidden beast` number, since 11 + 571 + 72 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135390 + ... + 143682.

It is an arithmetic number, because the mean of its divisors is an integer number (23140260).

Almost surely, 21157172048 is an apocalyptic number.

1157172048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157172048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851220800).

1157172048 is an abundant number, since it is smaller than the sum of its proper divisors (2545269552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1157172048 is a wasteful number, since it uses less digits than its factorization.

1157172048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1157172048 is about 34017.2316333943. The cubic root of 1157172048 is about 1049.8630351959.

Adding to 1157172048 its reverse (8402717511), we get a palindrome (9559889559).

The spelling of 1157172048 in words is "one billion, one hundred fifty-seven million, one hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 108 114 136 144 152 153 171 204 216 228 272 304 306 323 342 408 432 456 459 513 612 646 684 816 912 918 969 1026 1224 1292 1368 1836 1938 2052 2448 2584 2736 2907 3672 3876 4104 5168 5814 7344 7752 8208 8293 8721 11628 15504 16586 17442 23256 24879 33172 34884 46512 49758 66344 69768 74637 99516 132688 139536 140981 149274 157567 199032 223911 281962 298548 315134 398064 422943 447822 472701 563924 597096 630268 845886 895644 945402 1127848 1194192 1260536 1268829 1418103 1691772 1791288 1890804 2255696 2521072 2537658 2678639 2836206 3383544 3582576 3781608 3806487 4254309 5075316 5357278 5672412 6767088 7563216 7612974 8035917 8508618 10150632 10714556 11344824 15225948 16071834 17017236 20301264 21429112 22689648 24107751 30451896 32143668 34034472 42858224 48215502 60903792 64287336 68068944 72323253 96431004 128574672 144646506 192862008 289293012 385724016 578586024 1157172048