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52371072 = 2732132269
BaseRepresentation
bin1100011111000…
…1111010000000
310122112201121100
43013301322000
5101401333242
65110254400
71204101225
oct307617200
9118481540
1052371072
1127620186
1215657400
13ab08700
146d5394c
1548e754c
hex31f1e80

52371072 has 144 divisors (see below), whose sum is σ = 163794150. Its totient is φ = 16054272.

The previous prime is 52371061. The next prime is 52371073. The reversal of 52371072 is 27017325.

52371072 is a `hidden beast` number, since 523 + 71 + 0 + 72 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13133376 + 39237696 = 3624^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52371073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194554 + ... + 194822.

Almost surely, 252371072 is an apocalyptic number.

52371072 is a gapful number since it is divisible by the number (52) 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 52371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81897075).

52371072 is an abundant number, since it is smaller than the sum of its proper divisors (111423078).

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

52371072 is a wasteful number, since it uses less digits than its factorization.

52371072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 52371072 is about 7236.7860269598. The cubic root of 52371072 is about 374.1368521263.

Adding to 52371072 its reverse (27017325), we get a palindrome (79388397).

The spelling of 52371072 in words is "fifty-two million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 269 288 312 338 384 416 468 507 538 576 624 676 807 832 936 1014 1076 1152 1248 1352 1521 1614 1664 1872 2028 2152 2421 2496 2704 3042 3228 3497 3744 4056 4304 4842 4992 5408 6084 6456 6994 7488 8112 8608 9684 10491 10816 12168 12912 13988 14976 16224 17216 19368 20982 21632 24336 25824 27976 31473 32448 34432 38736 41964 45461 48672 51648 55952 62946 64896 77472 83928 90922 97344 103296 111904 125892 136383 154944 167856 181844 194688 223808 251784 272766 309888 335712 363688 409149 447616 503568 545532 671424 727376 818298 1007136 1091064 1342848 1454752 1636596 2014272 2182128 2909504 3273192 4028544 4364256 5819008 6546384 8728512 13092768 17457024 26185536 52371072