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58642420 = 22567107409
BaseRepresentation
bin1101111110110…
…0111111110100
311002100100021111
43133230333310
5110003024140
65452524404
71311311104
oct337547764
9132310244
1058642420
1130113a11
1217780704
13c1c3075
147b07204
1552357ea
hex37ecff4

58642420 has 48 divisors (see below), whose sum is σ = 126463680. Its totient is φ = 22834944.

The previous prime is 58642403. The next prime is 58642429. The reversal of 58642420 is 2424685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58642429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143176 + ... + 143584.

It is an arithmetic number, because the mean of its divisors is an integer number (2634660).

Almost surely, 258642420 is an apocalyptic number.

It is an amenable number.

58642420 is an abundant number, since it is smaller than the sum of its proper divisors (67821260).

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

58642420 is a wasteful number, since it uses less digits than its factorization.

58642420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 58642420 is about 7657.8338973890. The cubic root of 58642420 is about 388.5115741088.

The spelling of 58642420 in words is "fifty-eight million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 67 107 134 214 268 335 409 428 535 670 818 1070 1340 1636 2045 2140 4090 7169 8180 14338 27403 28676 35845 43763 54806 71690 87526 109612 137015 143380 175052 218815 274030 437630 548060 875260 2932121 5864242 11728484 14660605 29321210 58642420