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4522831504 = 24172232432
BaseRepresentation
bin1000011011001010…
…01110111010010000
3102200012111122102221
410031211032322100
533230321102004
62024443550424
7220036301452
oct41545167220
912605448387
104522831504
111a11025284
12a6282b414
1357103b979
1430c9702d2
151b70ed354
hex10d94ee90

4522831504 has 135 divisors (see below), whose sum is σ = 9962671593. Its totient is φ = 1988507136.

The previous prime is 4522831477. The next prime is 4522831507. The reversal of 4522831504 is 4051382254.

The square root of 4522831504 is 67252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3521235600 + 1001595904 = 59340^2 + 31648^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4522831504.

It is not an unprimeable number, because it can be changed into a prime (4522831507) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105182107 + ... + 105182149.

Almost surely, 24522831504 is an apocalyptic number.

4522831504 is the 67252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4522831504

4522831504 is an abundant number, since it is smaller than the sum of its proper divisors (5439840089).

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

4522831504 is a wasteful number, since it uses less digits than its factorization.

4522831504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The cubic root of 4522831504 is about 1653.7510624301.

The spelling of 4522831504 in words is "four billion, five hundred twenty-two million, eight hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 23 34 43 46 68 86 92 136 172 184 272 289 344 368 391 529 578 688 731 782 989 1058 1156 1462 1564 1849 1978 2116 2312 2924 3128 3698 3956 4232 4624 5848 6256 6647 7396 7912 8464 8993 11696 12427 13294 14792 15824 16813 17986 22747 24854 26588 29584 31433 33626 35972 42527 45494 49708 53176 62866 67252 71944 85054 90988 99416 106352 125732 134504 143888 152881 170108 181976 198832 251464 269008 285821 305762 340216 363952 386699 502928 534361 571642 611524 680432 722959 773398 978121 1068722 1143284 1223048 1445918 1546796 1956242 2137444 2286568 2446096 2891836 3093592 3912484 4274888 4573136 5783672 6187184 6573883 7824968 8549776 11567344 12290303 13147766 15649936 16628057 24580606 26295532 33256114 49161212 52591064 66512228 98322424 105182128 133024456 196644848 266048912 282676969 565353938 1130707876 2261415752 4522831504