Search a number
-
+
52749504 = 2632175387
BaseRepresentation
bin1100100100111…
…0010011000000
310200020221201100
43021032103000
5102000441004
65122334400
71210235433
oct311162300
9120227640
1052749504
1127859535
12157ba400
13ac0ba32
14701181a
15496e739
hex324e4c0

52749504 has 84 divisors (see below), whose sum is σ = 160120584. Its totient is φ = 16545792.

The previous prime is 52749497. The next prime is 52749509. The reversal of 52749504 is 40594725.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (52749509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7099 + ... + 12485.

Almost surely, 252749504 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 52749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80060292).

52749504 is an abundant number, since it is smaller than the sum of its proper divisors (107371080).

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

52749504 is a wasteful number, since it uses less digits than its factorization.

52749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 52749504 is about 7262.8853770385. The cubic root of 52749504 is about 375.0358579045.

The spelling of 52749504 in words is "fifty-two million, seven hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 5387 9792 10774 16161 21548 32322 43096 48483 64644 86192 91579 96966 129288 172384 183158 193932 258576 274737 344768 366316 387864 517152 549474 732632 775728 824211 1034304 1098948 1465264 1551456 1648422 2197896 2930528 3102912 3296844 4395792 5861056 6593688 8791584 13187376 17583168 26374752 52749504