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52930944 = 2732114177
BaseRepresentation
bin1100100111101…
…0100110000000
310200121011121100
43021322212000
5102022242234
65130254400
71211622423
oct311724600
9120534540
1052930944
1127972890
1215887400
13ac734b1
14705b9ba
1549a8399
hex327a980

52930944 has 96 divisors (see below), whose sum is σ = 166200840. Its totient is φ = 16035840.

The previous prime is 52930939. The next prime is 52930951. The reversal of 52930944 is 44903925.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×529309442 = 5603369665462272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52930899 and 52930908.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10584 + ... + 14760.

Almost surely, 252930944 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 52930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83100420).

52930944 is an abundant number, since it is smaller than the sum of its proper divisors (113269896).

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

52930944 is a wasteful number, since it uses less digits than its factorization.

52930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52930944 is about 7275.3655578259. The cubic root of 52930944 is about 375.4653635924.

The spelling of 52930944 in words is "fifty-two million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4177 4224 6336 8354 12531 12672 16708 25062 33416 37593 45947 50124 66832 75186 91894 100248 133664 137841 150372 183788 200496 267328 275682 300744 367576 400992 413523 534656 551364 601488 735152 801984 827046 1102728 1202976 1470304 1603968 1654092 2205456 2405952 2940608 3308184 4410912 4811904 5881216 6616368 8821824 13232736 17643648 26465472 52930944