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53914656 = 253797109
BaseRepresentation
bin1100110110101…
…0110000100000
310202110011000010
43031222300200
5102300232111
65203324520
71223160405
oct315526040
9122404003
1053914656
1128484974
1216080740
13b229183
1472362ac
154aeeaa6
hex336ac20

53914656 has 48 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 17741568.

The previous prime is 53914639. The next prime is 53914657. The reversal of 53914656 is 65641935.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (53914657) 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 7 ways as a sum of consecutive naturals, for example, 4030 + ... + 11138.

It is an arithmetic number, because the mean of its divisors is an integer number (2986200).

Almost surely, 253914656 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 53914656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

53914656 is an abundant number, since it is smaller than the sum of its proper divisors (89422944).

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

53914656 is a wasteful number, since it uses less digits than its factorization.

53914656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7193 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 53914656 is about 7342.6600084710. The cubic root of 53914656 is about 377.7770864527. Note that the first 3 decimals are identical.

The spelling of 53914656 in words is "fifty-three million, nine hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7109 7584 14218 21327 28436 42654 56872 85308 113744 170616 227488 341232 561611 682464 1123222 1684833 2246444 3369666 4492888 6739332 8985776 13478664 17971552 26957328 53914656