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58740288 = 2633171139
BaseRepresentation
bin1110000000010…
…0111001000000
311002112022112020
43200010321000
5110014142123
65455001440
71312166325
oct340047100
9132468466
1058740288
11301804a2
1217809280
13c228789
147b30b4c
1552547e3
hex3804e40

58740288 has 112 divisors (see below), whose sum is σ = 163860480. Its totient is φ = 18547200.

The previous prime is 58740281. The next prime is 58740293. The reversal of 58740288 is 88204785.

It is not an unprimeable number, because it can be changed into a prime (58740281) 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, 422523 + ... + 422661.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 258740288 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 58740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

58740288 is an abundant number, since it is smaller than the sum of its proper divisors (105120192).

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

58740288 is a wasteful number, since it uses less digits than its factorization.

58740288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 58740288 is about 7664.2212911685. The cubic root of 58740288 is about 388.7275822379.

The spelling of 58740288 in words is "fifty-eight million, seven hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 71 93 96 124 139 142 186 192 213 248 278 284 372 417 426 496 556 568 744 834 852 992 1112 1136 1488 1668 1704 1984 2201 2224 2272 2976 3336 3408 4309 4402 4448 4544 5952 6603 6672 6816 8618 8804 8896 9869 12927 13206 13344 13632 17236 17608 19738 25854 26412 26688 29607 34472 35216 39476 51708 52824 59214 68944 70432 78952 103416 105648 118428 137888 140864 157904 206832 211296 236856 275776 305939 315808 413664 422592 473712 611878 631616 827328 917817 947424 1223756 1835634 1894848 2447512 3671268 4895024 7342536 9790048 14685072 19580096 29370144 58740288