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1053249552 = 2432173113879
BaseRepresentation
bin111110110001110…
…101000000010000
32201101212121202200
4332301311000100
54124112441202
6252302443200
735046321255
oct7661650020
92641777680
101053249552
114a0593a83
12254893500
1313a2926b4
149dc4d42c
15626ede1c
hex3ec75010

1053249552 has 120 divisors (see below), whose sum is σ = 3221936640. Its totient is φ = 319749120.

The previous prime is 1053249541. The next prime is 1053249577. The reversal of 1053249552 is 2559423501.

It is a happy number.

1053249552 is a `hidden beast` number, since 10 + 53 + 2 + 49 + 552 = 666.

It is a super-2 number, since 2×10532495522 = 2218669237576401408, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 68949 + ... + 82827.

It is an arithmetic number, because the mean of its divisors is an integer number (26849472).

Almost surely, 21053249552 is an apocalyptic number.

1053249552 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 1053249552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610968320).

1053249552 is an abundant number, since it is smaller than the sum of its proper divisors (2168687088).

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

1053249552 is a wasteful number, since it uses less digits than its factorization.

1053249552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13941 (or 13932 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1053249552 is about 32453.8064331443. The cubic root of 1053249552 is about 1017.4437953689.

The spelling of 1053249552 in words is "one billion, fifty-three million, two hundred forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 13879 18972 25296 27758 37944 41637 55516 75888 83274 111032 124911 166548 222064 235943 249822 333096 430249 471886 499644 666192 707829 860498 943772 999288 1290747 1415658 1720996 1887544 1998576 2123487 2581494 2831316 3441992 3775088 3872241 4246974 5162988 5662632 6883984 7314233 7744482 8493948 10325976 11325264 14628466 15488964 16987896 20651952 21942699 29256932 30977928 33975792 43885398 58513864 61955856 65828097 87770796 117027728 131656194 175541592 263312388 351083184 526624776 1053249552