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1145553552 = 2432111355631
BaseRepresentation
bin100010001000111…
…1100001010010000
32221211120011001100
41010101330022100
54321230203202
6305401104400
740250021163
oct10421741220
92854504040
101145553552
115386a9380
1227b788100
13153440250
14ac1d9ada
156a88341c
hex4447c290

1145553552 has 120 divisors (see below), whose sum is σ = 3766508928. Its totient is φ = 320428800.

The previous prime is 1145553533. The next prime is 1145553557. The reversal of 1145553552 is 2553555411.

1145553552 is a `hidden beast` number, since 1 + 1 + 4 + 55 + 53 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1145553557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7224 + ... + 48407.

Almost surely, 21145553552 is an apocalyptic number.

1145553552 is a gapful number since it is divisible by the number (12) 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 1145553552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883254464).

1145553552 is an abundant number, since it is smaller than the sum of its proper divisors (2620955376).

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

1145553552 is a wasteful number, since it uses less digits than its factorization.

1145553552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55669 (or 55660 counting only the distinct ones).

The product of its digits is 75000, while the sum is 36.

The square root of 1145553552 is about 33846.0271228397. The cubic root of 1145553552 is about 1046.3375201170.

The spelling of 1145553552 in words is "one billion, one hundred forty-five million, five hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 55631 111262 166893 222524 333786 445048 500679 611941 667572 723203 890096 1001358 1223882 1335144 1446406 1835823 2002716 2169609 2447764 2670288 2892812 3671646 4005432 4339218 4895528 5507469 5785624 6508827 7343292 7955233 8010864 8678436 9791056 11014938 11571248 13017654 14686584 15910466 17356872 22029876 23865699 26035308 29373168 31820932 34713744 44059752 47731398 52070616 63641864 71597097 88119504 95462796 104141232 127283728 143194194 190925592 286388388 381851184 572776776 1145553552