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52358592 = 26311131907
BaseRepresentation
bin1100011110111…
…0110111000000
310122112002111010
43013232313000
5101400433332
65110120520
71204016646
oct307566700
9118462433
1052358592
1127611870
1215650140
13ab02b20
146d4d196
1548e39cc
hex31eedc0

52358592 has 112 divisors (see below), whose sum is σ = 162836352. Its totient is φ = 14638080.

The previous prime is 52358591. The next prime is 52358609. The reversal of 52358592 is 29585325.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 52358592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52358591) 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, 26503 + ... + 28409.

It is an arithmetic number, because the mean of its divisors is an integer number (1453896).

Almost surely, 252358592 is an apocalyptic number.

52358592 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 52358592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81418176).

52358592 is an abundant number, since it is smaller than the sum of its proper divisors (110477760).

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

52358592 is a wasteful number, since it uses less digits than its factorization.

52358592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1936 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 52358592 is about 7235.9237143574. The cubic root of 52358592 is about 374.1071308910.

The spelling of 52358592 in words is "fifty-two million, three hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 1907 2112 2288 2496 3432 3814 4576 5721 6864 7628 9152 11442 13728 15256 20977 22884 24791 27456 30512 41954 45768 49582 61024 62931 74373 83908 91536 99164 122048 125862 148746 167816 183072 198328 251724 272701 297492 335632 366144 396656 503448 545402 594984 671264 793312 818103 1006896 1090804 1189968 1342528 1586624 1636206 2013792 2181608 2379936 3272412 4027584 4363216 4759872 6544824 8726432 13089648 17452864 26179296 52358592