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52355072 = 21371183
BaseRepresentation
bin1100011110111…
…0000000000000
310122111220122202
43013232000000
5101400330242
65110052332
71204003460
oct307560000
9118456582
1052355072
112760a160
121564a0a8
13ab01343
146d4bba0
1548e2932
hex31ee000

52355072 has 112 divisors (see below), whose sum is σ = 132112512. Its totient is φ = 20152320.

The previous prime is 52355057. The next prime is 52355099. The reversal of 52355072 is 27055325.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630743 + ... + 630825.

It is an arithmetic number, because the mean of its divisors is an integer number (1179576).

Almost surely, 252355072 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 52355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66056256).

52355072 is an abundant number, since it is smaller than the sum of its proper divisors (79757440).

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

52355072 is an equidigital number, since it uses as much as digits as its factorization.

52355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 52355072 is about 7235.6804794021. The cubic root of 52355072 is about 374.0987471246.

The spelling of 52355072 in words is "fifty-two million, three hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 83 88 112 128 154 166 176 224 256 308 332 352 448 512 581 616 664 704 896 913 1024 1162 1232 1328 1408 1792 1826 2048 2324 2464 2656 2816 3584 3652 4096 4648 4928 5312 5632 6391 7168 7304 8192 9296 9856 10624 11264 12782 14336 14608 18592 19712 21248 22528 25564 28672 29216 37184 39424 42496 45056 51128 57344 58432 74368 78848 84992 90112 102256 116864 148736 157696 169984 204512 233728 297472 315392 339968 409024 467456 594944 630784 679936 818048 934912 1189888 1636096 1869824 2379776 3272192 3739648 4759552 6544384 7479296 13088768 26177536 52355072