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58408320 = 2735291049
BaseRepresentation
bin1101111011001…
…1110110000000
311001220110011010
43132303312000
5104423031240
65443520520
71306314435
oct336636600
9131813133
1058408320
112aa74043
1217689140
13c140649
147a85b8c
1551db280
hex37b3d80

58408320 has 128 divisors (see below), whose sum is σ = 192780000. Its totient is φ = 15024128.

The previous prime is 58408307. The next prime is 58408321. The reversal of 58408320 is 2380485.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58408321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55156 + ... + 56204.

Almost surely, 258408320 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 58408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390000).

58408320 is an abundant number, since it is smaller than the sum of its proper divisors (134371680).

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

58408320 is a wasteful number, since it uses less digits than its factorization.

58408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 58408320 is about 7642.5336113098. The cubic root of 58408320 is about 387.9939064477.

The spelling of 58408320 in words is "fifty-eight million, four hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1049 1160 1392 1740 1856 1920 2098 2320 2784 3147 3480 3712 4196 4640 5245 5568 6294 6960 8392 9280 10490 11136 12588 13920 15735 16784 18560 20980 25176 27840 30421 31470 33568 41960 50352 55680 60842 62940 67136 83920 91263 100704 121684 125880 134272 152105 167840 182526 201408 243368 251760 304210 335680 365052 402816 456315 486736 503520 608420 671360 730104 912630 973472 1007040 1216840 1460208 1825260 1946944 2014080 2433680 2920416 3650520 3893888 4867360 5840832 7301040 9734720 11681664 14602080 19469440 29204160 58408320