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58480920 = 23335173313
BaseRepresentation
bin1101111100010…
…1100100011000
311002001010202000
43133011210120
5104432342140
65445241000
71310036211
oct337054430
9132033660
1058480920
1130013643
1217703160
13c1676c4
147aa4408
155202a30
hex37c5918

58480920 has 128 divisors (see below), whose sum is σ = 196689600. Its totient is φ = 15455232.

The previous prime is 58480913. The next prime is 58480931. The reversal of 58480920 is 2908485.

58480920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 186684 + ... + 186996.

Almost surely, 258480920 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 58480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98344800).

58480920 is an abundant number, since it is smaller than the sum of its proper divisors (138208680).

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

58480920 is a wasteful number, since it uses less digits than its factorization.

58480920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58480920 is about 7647.2818700503. The cubic root of 58480920 is about 388.1545952834.

The spelling of 58480920 in words is "fifty-eight million, four hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 173 180 216 270 313 346 360 519 540 626 692 865 939 1038 1080 1252 1384 1557 1565 1730 1878 2076 2504 2595 2817 3114 3130 3460 3756 4152 4671 4695 5190 5634 6228 6260 6920 7512 7785 8451 9342 9390 10380 11268 12456 12520 14085 15570 16902 18684 18780 20760 22536 23355 28170 31140 33804 37368 37560 42255 46710 54149 56340 62280 67608 84510 93420 108298 112680 162447 169020 186840 216596 270745 324894 338040 433192 487341 541490 649788 812235 974682 1082980 1299576 1462023 1624470 1949364 2165960 2436705 2924046 3248940 3898728 4873410 5848092 6497880 7310115 9746820 11696184 14620230 19493640 29240460 58480920