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58904472 = 233112389109
BaseRepresentation
bin1110000010110…
…0111110011000
311002211122202010
43200230332120
5110034420342
65502305520
71313452104
oct340547630
9132748663
1058904472
1130282890
12178882a0
13c285423
147b74904
15528829c
hex382cf98

58904472 has 128 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 16727040.

The previous prime is 58904471. The next prime is 58904491. The reversal of 58904472 is 27440985.

58904472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×589044724 (a number of 32 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58904472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58904471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540354 + ... + 540462.

It is an arithmetic number, because the mean of its divisors is an integer number (1336500).

Almost surely, 258904472 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 58904472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536000).

58904472 is an abundant number, since it is smaller than the sum of its proper divisors (112167528).

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

58904472 is a wasteful number, since it uses less digits than its factorization.

58904472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 58904472 is about 7674.9248856259. The cubic root of 58904472 is about 389.0894206530.

The spelling of 58904472 in words is "fifty-eight million, nine hundred four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 89 92 109 132 138 178 184 218 253 264 267 276 327 356 436 506 534 552 654 712 759 872 979 1012 1068 1199 1308 1518 1958 2024 2047 2136 2398 2507 2616 2937 3036 3597 3916 4094 4796 5014 5874 6072 6141 7194 7521 7832 8188 9592 9701 10028 11748 12282 14388 15042 16376 19402 20056 22517 23496 24564 27577 28776 29103 30084 38804 45034 49128 55154 58206 60168 67551 77608 82731 90068 106711 110308 116412 135102 165462 180136 213422 220616 223123 232824 270204 320133 330924 426844 446246 540408 640266 661848 669369 853688 892492 1280532 1338738 1784984 2454353 2561064 2677476 4908706 5354952 7363059 9817412 14726118 19634824 29452236 58904472