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1054866852 = 22321319971223
BaseRepresentation
bin111110110111111…
…111110110100100
32201111220210021200
4332313333312210
54130021214402
6252401242500
735066135364
oct7667776644
92644823250
101054866852
114a1499096
12255333430
1313a70a890
14a01509a4
156291d21c
hex3edffda4

1054866852 has 144 divisors (see below), whose sum is σ = 3056376960. Its totient is φ = 304072704.

The previous prime is 1054866821. The next prime is 1054866887. The reversal of 1054866852 is 2586684501.

1054866852 is a `hidden beast` number, since 105 + 486 + 68 + 5 + 2 = 666.

It is a super-2 number, since 2×10548668522 = 2225488150896779808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054866798 and 1054866807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861913 + ... + 863135.

It is an arithmetic number, because the mean of its divisors is an integer number (21224840).

Almost surely, 21054866852 is an apocalyptic number.

1054866852 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 1054866852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528188480).

1054866852 is an abundant number, since it is smaller than the sum of its proper divisors (2001510108).

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

1054866852 is a wasteful number, since it uses less digits than its factorization.

1054866852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1054866852 is about 32478.7138292144. The cubic root of 1054866852 is about 1017.9643020613.

The spelling of 1054866852 in words is "one billion, fifty-four million, eight hundred sixty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 97 114 117 156 171 194 228 234 247 291 342 388 468 494 582 684 741 873 988 1164 1223 1261 1482 1746 1843 2223 2446 2522 2964 3492 3669 3686 3783 4446 4892 5044 5529 7338 7372 7566 8892 11007 11058 11349 14676 15132 15899 16587 22014 22116 22698 23237 23959 31798 33174 44028 45396 46474 47697 47918 63596 66348 69711 71877 92948 95394 95836 118631 139422 143091 143754 190788 209133 215631 237262 278844 286182 287508 302081 355893 418266 431262 474524 572364 604162 711786 836532 862524 906243 1067679 1208324 1423572 1542203 1812486 2135358 2253989 2718729 3084406 3624972 4270716 4507978 4626609 5437458 6168812 6761967 9015956 9253218 10874916 13523934 13879827 18506436 20285901 27047868 27759654 29301857 40571802 55519308 58603714 81143604 87905571 117207428 175811142 263716713 351622284 527433426 1054866852