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53688976 = 24112967157
BaseRepresentation
bin1100110011001…
…1101010010000
310202000200102121
43030303222100
5102221021401
65154424024
71221230425
oct314635220
9122020377
1053688976
1128340360
1215b92014
13b17a533
1471b7d4c
154aa7ca1
hex3333a90

53688976 has 80 divisors (see below), whose sum is σ = 119903040. Its totient is φ = 23063040.

The previous prime is 53688949. The next prime is 53688977. The reversal of 53688976 is 67988635.

It is a super-2 number, since 2×536889762 = 5765012287857152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53688977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341890 + ... + 342046.

It is an arithmetic number, because the mean of its divisors is an integer number (1498788).

Almost surely, 253688976 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 53688976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59951520).

53688976 is an abundant number, since it is smaller than the sum of its proper divisors (66214064).

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

53688976 is a wasteful number, since it uses less digits than its factorization.

53688976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 53688976 is about 7327.2761651244. The cubic root of 53688976 is about 377.2492400709.

The spelling of 53688976 in words is "fifty-three million, six hundred eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 67 88 116 134 157 176 232 268 314 319 464 536 628 638 737 1072 1256 1276 1474 1727 1943 2512 2552 2948 3454 3886 4553 5104 5896 6908 7772 9106 10519 11792 13816 15544 18212 21038 21373 27632 31088 36424 42076 42746 50083 72848 84152 85492 100166 115709 168304 170984 200332 231418 305051 341968 400664 462836 610102 801328 925672 1220204 1851344 2440408 3355561 4880816 6711122 13422244 26844488 53688976