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1012056552 = 233313439821
BaseRepresentation
bin111100010100101…
…100000111101000
32121112100210121000
4330110230013220
54033041302202
6244231515000
734036224123
oct7424540750
92545323530
101012056552
1147a309081
12242b28a60
1313189bb40
14985a93ba
155dcb391c
hex3c52c1e8

1012056552 has 128 divisors (see below), whose sum is σ = 3038112000. Its totient is φ = 310314240.

The previous prime is 1012056503. The next prime is 1012056553. The reversal of 1012056552 is 2556502101.

1012056552 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 5 + 655 + 2 = 666.

It is a super-2 number, since 2×10120565522 = 2048516928892257408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1012056553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232302 + ... + 1233122.

It is an arithmetic number, because the mean of its divisors is an integer number (23735250).

Almost surely, 21012056552 is an apocalyptic number.

1012056552 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 1012056552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519056000).

1012056552 is an abundant number, since it is smaller than the sum of its proper divisors (2026055448).

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

1012056552 is a wasteful number, since it uses less digits than its factorization.

1012056552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1012056552 is about 31812.8362772011. The cubic root of 1012056552 is about 1004.0028068259.

Adding to 1012056552 its reverse (2556502101), we get a palindrome (3568558653).

The spelling of 1012056552 in words is "one billion, twelve million, fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 439 468 702 821 878 936 1317 1404 1642 1756 2463 2634 2808 3284 3512 3951 4926 5268 5707 6568 7389 7902 9852 10536 10673 11414 11853 14778 15804 17121 19704 21346 22167 22828 23706 29556 31608 32019 34242 42692 44334 45656 47412 51363 59112 64038 68484 85384 88668 94824 96057 102726 128076 136968 154089 177336 192114 205452 256152 288171 308178 360419 384228 410904 576342 616356 720838 768456 1081257 1152684 1232712 1441676 2162514 2305368 2883352 3243771 4325028 4685447 6487542 8650056 9370894 9731313 12975084 14056341 18741788 19462626 25950168 28112682 37483576 38925252 42169023 56225364 77850504 84338046 112450728 126507069 168676092 253014138 337352184 506028276 1012056552