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58099416 = 233191031237
BaseRepresentation
bin1101110110100…
…0011011011000
311001022202102020
43131220123120
5104333140131
65433134440
71303560024
oct335503330
9131282366
1058099416
112a882a51
121755a420
13c062b6b
147a05384
155179996
hex37686d8

58099416 has 64 divisors (see below), whose sum is σ = 154502400. Its totient is φ = 18154368.

The previous prime is 58099367. The next prime is 58099423. The reversal of 58099416 is 61499085.

It is a congruent number.

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, 46350 + ... + 47586.

It is an arithmetic number, because the mean of its divisors is an integer number (2414100).

Almost surely, 258099416 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 58099416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77251200).

58099416 is an abundant number, since it is smaller than the sum of its proper divisors (96402984).

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

58099416 is a wasteful number, since it uses less digits than its factorization.

58099416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 58099416 is about 7622.2972914995. The cubic root of 58099416 is about 387.3087028029.

It can be divided in two parts, 5809 and 9416, that added together give a triangular number (15225 = T174).

The spelling of 58099416 in words is "fifty-eight million, ninety-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 103 114 152 206 228 309 412 456 618 824 1236 1237 1957 2472 2474 3711 3914 4948 5871 7422 7828 9896 11742 14844 15656 23484 23503 29688 46968 47006 70509 94012 127411 141018 188024 254822 282036 382233 509644 564072 764466 1019288 1528932 2420809 3057864 4841618 7262427 9683236 14524854 19366472 29049708 58099416