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53323968 = 263172312
BaseRepresentation
bin1100101101101…
…0100011000000
310201100010201210
43023122203000
5102122331333
65142530120
71215150315
oct313324300
9121303653
1053323968
11281110a5
1215a36940
13b080359
147120d0c
154a34a63
hex32da8c0

53323968 has 126 divisors (see below), whose sum is σ = 154864308. Its totient is φ = 16189440.

The previous prime is 53323957. The next prime is 53323969. The reversal of 53323968 is 86932335.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (53323969) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1720113 + ... + 1720143.

Almost surely, 253323968 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 53323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77432154).

53323968 is an abundant number, since it is smaller than the sum of its proper divisors (101540340).

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

53323968 is a wasteful number, since it uses less digits than its factorization.

53323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 53323968 is about 7302.3262047104. The cubic root of 53323968 is about 376.3923774724.

The spelling of 53323968 in words is "fifty-three million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 289 372 408 496 527 544 578 744 816 867 961 992 1054 1088 1156 1488 1581 1632 1734 1922 1984 2108 2312 2883 2976 3162 3264 3468 3844 4216 4624 5766 5952 6324 6936 7688 8432 8959 9248 11532 12648 13872 15376 16337 16864 17918 18496 23064 25296 26877 27744 30752 32674 33728 35836 46128 49011 50592 53754 55488 61504 65348 71672 92256 98022 101184 107508 130696 143344 184512 196044 215016 261392 277729 286688 392088 430032 522784 555458 573376 784176 833187 860064 1045568 1110916 1568352 1666374 1720128 2221832 3136704 3332748 4443664 6665496 8887328 13330992 17774656 26661984 53323968