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58712424 = 23317151953
BaseRepresentation
bin1101111111111…
…0000101101000
311002110220022020
43133332011220
5110012244144
65454224440
71312022151
oct337760550
9132426266
1058712424
1130161571
12177b5120
13c218ba4
147b24928
15524b419
hex37fe168

58712424 has 64 divisors (see below), whose sum is σ = 156608640. Its totient is φ = 18278400.

The previous prime is 58712417. The next prime is 58712431. The reversal of 58712424 is 42421785.

It is an interprime number because it is at equal distance from previous prime (58712417) and next prime (58712431).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61132 + ... + 62084.

It is an arithmetic number, because the mean of its divisors is an integer number (2447010).

Almost surely, 258712424 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 58712424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78304320).

58712424 is an abundant number, since it is smaller than the sum of its proper divisors (97896216).

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

58712424 is a wasteful number, since it uses less digits than its factorization.

58712424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 58712424 is about 7662.4032783455. The cubic root of 58712424 is about 388.6661070060. Note that the first 3 decimals are identical.

The spelling of 58712424 in words is "fifty-eight million, seven hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 302 408 453 604 906 953 1208 1812 1906 2567 2859 3624 3812 5134 5718 7624 7701 10268 11436 15402 16201 20536 22872 30804 32402 48603 61608 64804 97206 129608 143903 194412 287806 388824 431709 575612 863418 1151224 1726836 2446351 3453672 4892702 7339053 9785404 14678106 19570808 29356212 58712424