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52738704 = 24322973173
BaseRepresentation
bin1100100100101…
…1101010010000
310200020101220100
43021023222100
5102000114304
65122212400
71210162104
oct311135220
9120211810
1052738704
1127851407
12157b4100
13ac06b45
14700b904
15496b439
hex324ba90

52738704 has 120 divisors (see below), whose sum is σ = 155670840. Its totient is φ = 16644096.

The previous prime is 52738687. The next prime is 52738711. The reversal of 52738704 is 40783725.

It can be written as a sum of positive squares in 4 ways, for example, as 20793600 + 31945104 = 4560^2 + 5652^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304762 + ... + 304934.

It is an arithmetic number, because the mean of its divisors is an integer number (1297257).

Almost surely, 252738704 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 52738704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77835420).

52738704 is an abundant number, since it is smaller than the sum of its proper divisors (102932136).

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

52738704 is a wasteful number, since it uses less digits than its factorization.

52738704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 52738704 is about 7262.1418328204. The cubic root of 52738704 is about 375.0102610526.

The spelling of 52738704 in words is "fifty-two million, seven hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 73 87 116 144 146 173 174 219 232 261 292 346 348 438 464 519 522 584 657 692 696 876 1038 1044 1168 1314 1384 1392 1557 1752 2076 2088 2117 2628 2768 3114 3504 4152 4176 4234 5017 5256 6228 6351 8304 8468 10034 10512 12456 12629 12702 15051 16936 19053 20068 24912 25258 25404 30102 33872 37887 38106 40136 45153 50516 50808 60204 75774 76212 80272 90306 101032 101616 113661 120408 151548 152424 180612 202064 227322 240816 303096 304848 361224 366241 454644 606192 722448 732482 909288 1098723 1464964 1818576 2197446 2929928 3296169 4394892 5859856 6592338 8789784 13184676 17579568 26369352 52738704