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59472040 = 23529167307
BaseRepresentation
bin1110001011011…
…1100010101000
311010220111022011
43202313202220
5110211101130
65522405304
71321334605
oct342674250
9133814264
1059472040
1130630251
1217b00834
13c423874
147c816ac
15534b52a
hex38b78a8

59472040 has 64 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 22756608.

The previous prime is 59471999. The next prime is 59472067. The reversal of 59472040 is 4027495.

59472040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59471993 and 59472011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193567 + ... + 193873.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 259472040 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 59472040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

59472040 is an abundant number, since it is smaller than the sum of its proper divisors (80236760).

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

59472040 is a wasteful number, since it uses less digits than its factorization.

59472040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 59472040 is about 7711.8117196934. The cubic root of 59472040 is about 390.3351053616.

The spelling of 59472040 in words is "fifty-nine million, four hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 167 232 290 307 334 580 614 668 835 1160 1228 1336 1535 1670 2456 3070 3340 4843 6140 6680 8903 9686 12280 17806 19372 24215 35612 38744 44515 48430 51269 71224 89030 96860 102538 178060 193720 205076 256345 356120 410152 512690 1025380 1486801 2050760 2973602 5947204 7434005 11894408 14868010 29736020 59472040