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52932384 = 25322361131
BaseRepresentation
bin1100100111101…
…0111100100000
310200121020120200
43021322330200
5102022314014
65130305200
71211626551
oct311727440
9120536520
1052932384
112797397a
1215888200
13ac7404b
14705c328
1549a8a09
hex327af20

52932384 has 144 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 16473600.

The previous prime is 52932377. The next prime is 52932409. The reversal of 52932384 is 48323925.

52932384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403999 + ... + 404129.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 252932384 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 52932384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

52932384 is an abundant number, since it is smaller than the sum of its proper divisors (107932320).

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

52932384 is a wasteful number, since it uses less digits than its factorization.

52932384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 52932384 is about 7275.4645212522. The cubic root of 52932384 is about 375.4687684389.

The spelling of 52932384 in words is "fifty-two million, nine hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 61 69 72 92 96 122 131 138 144 183 184 207 244 262 276 288 366 368 393 414 488 524 549 552 732 736 786 828 976 1048 1098 1104 1179 1403 1464 1572 1656 1952 2096 2196 2208 2358 2806 2928 3013 3144 3312 4192 4209 4392 4716 5612 5856 6026 6288 6624 7991 8418 8784 9039 9432 11224 12052 12576 12627 15982 16836 17568 18078 18864 22448 23973 24104 25254 27117 31964 33672 36156 37728 44896 47946 48208 50508 54234 63928 67344 71919 72312 95892 96416 101016 108468 127856 134688 143838 144624 183793 191784 202032 216936 255712 287676 289248 367586 383568 404064 433872 551379 575352 735172 767136 867744 1102758 1150704 1470344 1654137 2205516 2301408 2940688 3308274 4411032 5881376 6616548 8822064 13233096 17644128 26466192 52932384