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53679696 = 2437229787
BaseRepresentation
bin1100110011000…
…1011001010000
310202000012200220
43030301121100
5102220222241
65154313040
71221161400
oct314613120
9122005626
1053679696
1128334394
1215b88780
13b176245
1471b4800
154aa5166
hex3331650

53679696 has 120 divisors (see below), whose sum is σ = 167087520. Its totient is φ = 14789376.

The previous prime is 53679683. The next prime is 53679697. The reversal of 53679696 is 69697635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53679697) 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 23 ways as a sum of consecutive naturals, for example, 67815 + ... + 68601.

It is an arithmetic number, because the mean of its divisors is an integer number (1392396).

Almost surely, 253679696 is an apocalyptic number.

53679696 is a gapful number since it is divisible by the number (56) 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 53679696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83543760).

53679696 is an abundant number, since it is smaller than the sum of its proper divisors (113407824).

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

53679696 is a wasteful number, since it uses less digits than its factorization.

53679696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 828 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 51.

The square root of 53679696 is about 7326.6428874349. The cubic root of 53679696 is about 377.2275033015.

The spelling of 53679696 in words is "fifty-three million, six hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 787 812 1176 1218 1392 1421 1574 1624 2352 2361 2436 2842 3148 3248 4263 4722 4872 5509 5684 6296 8526 9444 9744 11018 11368 12592 16527 17052 18888 22036 22736 22823 33054 34104 37776 38563 44072 45646 66108 68208 68469 77126 88144 91292 115689 132216 136938 154252 159761 182584 231378 264432 273876 308504 319522 365168 462756 479283 547752 617008 639044 925512 958566 1095504 1118327 1278088 1851024 1917132 2236654 2556176 3354981 3834264 4473308 6709962 7668528 8946616 13419924 17893232 26839848 53679696