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59942112 = 2531959557
BaseRepresentation
bin1110010010101…
…0010011100000
311011210101010020
43210222103200
5110321121422
65540433440
71325333226
oct344522340
9134711106
1059942112
113092143a
12180a8880
13c559809
147d64b16
1553e095c
hex392a4e0

59942112 has 96 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 18574848.

The previous prime is 59942107. The next prime is 59942137. The reversal of 59942112 is 21124995.

It is a tau number, because it is divible by the number of its divisors (96).

59942112 is a Rhonda number in base 10.

Its product of digits (6480) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107338 + ... + 107894.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 259942112 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 59942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

59942112 is an abundant number, since it is smaller than the sum of its proper divisors (108797088).

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

59942112 is a wasteful number, since it uses less digits than its factorization.

59942112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 59942112 is about 7742.2291363663. The cubic root of 59942112 is about 391.3608214617.

The spelling of 59942112 in words is "fifty-nine million, nine hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 76 96 114 118 152 177 228 236 304 354 456 472 557 608 708 912 944 1114 1121 1416 1671 1824 1888 2228 2242 2832 3342 3363 4456 4484 5664 6684 6726 8912 8968 10583 13368 13452 17824 17936 21166 26736 26904 31749 32863 35872 42332 53472 53808 63498 65726 84664 98589 107616 126996 131452 169328 197178 253992 262904 338656 394356 507984 525808 624397 788712 1015968 1051616 1248794 1577424 1873191 2497588 3154848 3746382 4995176 7492764 9990352 14985528 19980704 29971056 59942112