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53959948 = 22747131313
BaseRepresentation
bin1100110111010…
…1110100001100
310202112110010121
43031311310030
5102303204243
65204314324
71223436430
oct315656414
9122473117
1053959948
11285059a9
12160a29a4
13b243983
1472489c0
154b0d1ed
hex3375d0c

53959948 has 48 divisors (see below), whose sum is σ = 111412224. Its totient is φ = 22389120.

The previous prime is 53959931. The next prime is 53959963. The reversal of 53959948 is 84995935.

It is a junction number, because it is equal to n+sod(n) for n = 53959895 and 53959904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172240 + ... + 172552.

It is an arithmetic number, because the mean of its divisors is an integer number (2321088).

Almost surely, 253959948 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 53959948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55706112).

53959948 is an abundant number, since it is smaller than the sum of its proper divisors (57452276).

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

53959948 is a wasteful number, since it uses less digits than its factorization.

53959948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 52.

The square root of 53959948 is about 7345.7435294189. The cubic root of 53959948 is about 377.8828430443.

The spelling of 53959948 in words is "fifty-three million, nine hundred fifty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 47 94 131 188 262 313 329 524 626 658 917 1252 1316 1834 2191 3668 4382 6157 8764 12314 14711 24628 29422 41003 43099 58844 82006 86198 102977 164012 172396 205954 287021 411908 574042 1148084 1927141 3854282 7708564 13489987 26979974 53959948