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52943904 = 25321379179
BaseRepresentation
bin1100100111110…
…1110000100000
310200121211101100
43021331300200
5102023201104
65130434400
71212005256
oct311756040
9120554340
1052943904
11279815a2
1215892a00
13ac79370
1470625d6
1549ac139
hex327dc20

52943904 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 15994368.

The previous prime is 52943903. The next prime is 52943927. The reversal of 52943904 is 40934925.

52943904 is a `hidden beast` number, since 529 + 43 + 90 + 4 = 666.

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

It is a super-2 number, since 2×529439042 = 5606113941522432, which contains 22 as substring.

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 (52943903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295687 + ... + 295865.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 252943904 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 52943904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

52943904 is an abundant number, since it is smaller than the sum of its proper divisors (112166496).

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

52943904 is a wasteful number, since it uses less digits than its factorization.

52943904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

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

The square root of 52943904 is about 7276.2561802070. The cubic root of 52943904 is about 375.4960049882.

The spelling of 52943904 in words is "fifty-two million, nine hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 79 96 104 117 144 156 158 179 208 234 237 288 312 316 358 416 468 474 537 624 632 711 716 936 948 1027 1074 1248 1264 1422 1432 1611 1872 1896 2054 2148 2327 2528 2844 2864 3081 3222 3744 3792 4108 4296 4654 5688 5728 6162 6444 6981 7584 8216 8592 9243 9308 11376 12324 12888 13962 14141 16432 17184 18486 18616 20943 22752 24648 25776 27924 28282 32864 36972 37232 41886 42423 49296 51552 55848 56564 73944 74464 83772 84846 98592 111696 113128 127269 147888 167544 169692 183833 223392 226256 254538 295776 335088 339384 367666 452512 509076 551499 670176 678768 735332 1018152 1102998 1357536 1470664 1654497 2036304 2205996 2941328 3308994 4072608 4411992 5882656 6617988 8823984 13235976 17647968 26471952 52943904