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52724304 = 2433312127
BaseRepresentation
bin1100100100100…
…0001001010000
310200012200011000
43021020021100
5101444134204
65122022000
71210102113
oct311101120
9120180130
1052724304
1127841606
12157a7900
13ac00419
14700657a
154967039
hex3248250

52724304 has 120 divisors (see below), whose sum is σ = 157608960. Its totient is φ = 16873920.

The previous prime is 52724299. The next prime is 52724317. The reversal of 52724304 is 40342725.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415089 + ... + 415215.

It is an arithmetic number, because the mean of its divisors is an integer number (1313408).

Almost surely, 252724304 is an apocalyptic number.

52724304 is a gapful number since it is divisible by the number (54) 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 52724304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78804480).

52724304 is an abundant number, since it is smaller than the sum of its proper divisors (104884656).

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

52724304 is a wasteful number, since it uses less digits than its factorization.

52724304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 52724304 is about 7261.1503220908. The cubic root of 52724304 is about 374.9761264802.

The spelling of 52724304 in words is "fifty-two million, seven hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 127 144 186 216 248 254 279 372 381 432 496 508 558 744 762 837 961 1016 1116 1143 1488 1524 1674 1922 2032 2232 2286 2883 3048 3348 3429 3844 3937 4464 4572 5766 6096 6696 6858 7688 7874 8649 9144 11532 11811 13392 13716 15376 15748 17298 18288 23064 23622 25947 27432 31496 34596 35433 46128 47244 51894 54864 62992 69192 70866 94488 103788 106299 122047 138384 141732 188976 207576 212598 244094 283464 366141 415152 425196 488188 566928 732282 850392 976376 1098423 1464564 1700784 1952752 2196846 2929128 3295269 4393692 5858256 6590538 8787384 13181076 17574768 26362152 52724304