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52355376 = 2433177129
BaseRepresentation
bin1100011110111…
…0000100110000
310122111221002000
43013232010300
5101400333001
65110054000
71204004403
oct307560460
9118457060
1052355376
112760a407
121564a300
13ab01518
146d4bd3a
1548e2a86
hex31ee130

52355376 has 80 divisors (see below), whose sum is σ = 159141600. Its totient is φ = 16422912.

The previous prime is 52355371. The next prime is 52355417. The reversal of 52355376 is 67355325.

It is a super-2 number, since 2×523553762 = 5482170792202752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52355376.

It is not an unprimeable number, because it can be changed into a prime (52355371) 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, 3780 + ... + 10908.

It is an arithmetic number, because the mean of its divisors is an integer number (1989270).

Almost surely, 252355376 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 52355376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79570800).

52355376 is an abundant number, since it is smaller than the sum of its proper divisors (106786224).

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

52355376 is a wasteful number, since it uses less digits than its factorization.

52355376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163 (or 7151 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 52355376 is about 7235.7014863799. The cubic root of 52355376 is about 374.0994711920.

The spelling of 52355376 in words is "fifty-two million, three hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7129 7344 14258 21387 28516 42774 57032 64161 85548 114064 121193 128322 171096 192483 242386 256644 342192 363579 384966 484772 513288 727158 769932 969544 1026576 1090737 1454316 1539864 1939088 2181474 2908632 3079728 3272211 4362948 5817264 6544422 8725896 13088844 17451792 26177688 52355376