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52691472 = 2434109373
BaseRepresentation
bin1100100100000…
…0001000010000
310200011000010000
43021000020100
5101442111342
65121210000
71206604311
oct311001020
9120130100
1052691472
1127819979
1215790900
13abbb4b2
146dd8608
15495c44c
hex3240210

52691472 has 100 divisors (see below), whose sum is σ = 154316140. Its totient is φ = 17356032.

The previous prime is 52691461. The next prime is 52691477. The reversal of 52691472 is 27419625.

52691472 is a `hidden beast` number, since 526 + 91 + 47 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32764176 + 19927296 = 5724^2 + 4464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52691477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141078 + ... + 141450.

Almost surely, 252691472 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 52691472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77158070).

52691472 is an abundant number, since it is smaller than the sum of its proper divisors (101624668).

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

52691472 is a wasteful number, since it uses less digits than its factorization.

52691472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 52691472 is about 7258.8891712162. The cubic root of 52691472 is about 374.8982764087.

The spelling of 52691472 in words is "fifty-two million, six hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 373 432 436 648 654 746 872 981 1119 1296 1308 1492 1744 1962 2238 2616 2943 2984 3357 3924 4476 5232 5886 5968 6714 7848 8829 8952 10071 11772 13428 15696 17658 17904 20142 23544 26856 30213 35316 40284 40657 47088 53712 60426 70632 80568 81314 120852 121971 141264 161136 162628 241704 243942 325256 365913 483408 487884 650512 731826 975768 1097739 1463652 1951536 2195478 2927304 3293217 4390956 5854608 6586434 8781912 13172868 17563824 26345736 52691472