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52250890752 = 293310137423
BaseRepresentation
bin110000101010011001…
…010101001000000000
311222212110021021021000
4300222121111020000
51324002212001002
640000445532000
73526553146314
oct605231251000
9158773237230
1052250890752
11201832a1645
12a162874000
134c091ac048
142759657b44
15155c2b561c
hexc2a655200

52250890752 has 160 divisors (see below), whose sum is σ = 156201788160. Its totient is φ = 17244057600.

The previous prime is 52250890733. The next prime is 52250890759. The reversal of 52250890752 is 25709805225.

52250890752 is a `hidden beast` number, since 5 + 2 + 2 + 508 + 90 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52250890698 and 52250890707.

It is not an unprimeable number, because it can be changed into a prime (52250890759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377513 + ... + 1414935.

It is an arithmetic number, because the mean of its divisors is an integer number (976261176).

Almost surely, 252250890752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52250890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78100894080).

52250890752 is an abundant number, since it is smaller than the sum of its proper divisors (103950897408).

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

52250890752 is a wasteful number, since it uses less digits than its factorization.

52250890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37551 (or 37529 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 52250890752 in words is "fifty-two billion, two hundred fifty million, eight hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 256 288 303 384 404 432 512 576 606 768 808 864 909 1152 1212 1536 1616 1728 1818 2304 2424 2727 3232 3456 3636 4608 4848 5454 6464 6912 7272 9696 10908 12928 13824 14544 19392 21816 25856 29088 37423 38784 43632 51712 58176 74846 77568 87264 112269 116352 149692 155136 174528 224538 232704 299384 336807 349056 449076 465408 598768 673614 698112 898152 1010421 1197536 1347228 1396224 1796304 2020842 2395072 2694456 3592608 3779723 4041684 4790144 5388912 7185216 7559446 8083368 9580288 10777824 11339169 14370432 15118892 16166736 19160576 21555648 22678338 28740864 30237784 32333472 34017507 43111296 45356676 57481728 60475568 64666944 68035014 86222592 90713352 102052521 120951136 129333888 136070028 172445184 181426704 204105042 241902272 258667776 272140056 362853408 408210084 483804544 517335552 544280112 725706816 816420168 967609088 1088560224 1451413632 1632840336 1935218176 2177120448 2902827264 3265680672 4354240896 5805654528 6531361344 8708481792 13062722688 17416963584 26125445376 52250890752