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59493056 = 267261311
BaseRepresentation
bin1110001011110…
…0101011000000
311010221120010112
43202330223000
5110212234211
65523050452
71321453100
oct342745300
9133846115
1059493056
1130645017
1217b10a28
13c4302bc
147c89200
15535288b
hex38bcac0

59493056 has 84 divisors (see below), whose sum is σ = 140031216. Its totient is φ = 24998400.

The previous prime is 59493053. The next prime is 59493059. The reversal of 59493056 is 65039495.

It is an interprime number because it is at equal distance from previous prime (59493053) and next prime (59493059).

It is not an unprimeable number, because it can be changed into a prime (59493053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191141 + ... + 191451.

Almost surely, 259493056 is an apocalyptic number.

59493056 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 59493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70015608).

59493056 is an abundant number, since it is smaller than the sum of its proper divisors (80538160).

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

59493056 is a wasteful number, since it uses less digits than its factorization.

59493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 59493056 is about 7713.1741844717. The cubic root of 59493056 is about 390.3810783179.

The spelling of 59493056 in words is "fifty-nine million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 196 224 244 311 392 427 448 488 622 784 854 976 1244 1568 1708 1952 2177 2488 2989 3136 3416 3904 4354 4976 5978 6832 8708 9952 11956 13664 15239 17416 18971 19904 23912 27328 30478 34832 37942 47824 60956 69664 75884 95648 121912 132797 139328 151768 191296 243824 265594 303536 487648 531188 607072 929579 975296 1062376 1214144 1859158 2124752 3718316 4249504 7436632 8499008 14873264 29746528 59493056