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58793072 = 24132171279
BaseRepresentation
bin1110000001000…
…1110001110000
311002121222221012
43200101301300
5110022334242
65500050052
71312506242
oct340216160
9132558835
1058793072
1130207118
1217833928
13c246800
147b46092
155265282
hex3811c70

58793072 has 60 divisors (see below), whose sum is σ = 130705920. Its totient is φ = 25519104.

The previous prime is 58793051. The next prime is 58793093. The reversal of 58793072 is 27039785.

It is an interprime number because it is at equal distance from previous prime (58793051) and next prime (58793093).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45329 + ... + 46607.

It is an arithmetic number, because the mean of its divisors is an integer number (2178432).

Almost surely, 258793072 is an apocalyptic number.

58793072 is a gapful number since it is divisible by the number (52) 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 58793072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65352960).

58793072 is an abundant number, since it is smaller than the sum of its proper divisors (71912848).

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

58793072 is a wasteful number, since it uses less digits than its factorization.

58793072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 58793072 is about 7667.6640510654. The cubic root of 58793072 is about 388.8439841968.

The spelling of 58793072 in words is "fifty-eight million, seven hundred ninety-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1279 1352 1768 2558 2704 2873 3536 5116 5746 10232 11492 16627 20464 21743 22984 33254 43486 45968 66508 86972 133016 173944 216151 266032 282659 347888 432302 565318 864604 1130636 1729208 2261272 3458416 3674567 4522544 7349134 14698268 29396536 58793072