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61912480 = 2557253149
BaseRepresentation
bin1110110000101…
…1010110100000
311022111110221211
43230023112200
5111322144410
610050555504
71351150600
oct354132640
9138443854
1061912480
1131a47843
1218898b94
13ca99606
148318c00
15567e68a
hex3b0b5a0

61912480 has 144 divisors (see below), whose sum is σ = 174522600. Its totient is φ = 20686848.

The previous prime is 61912463. The next prime is 61912511. The reversal of 61912480 is 8421916.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 17875984 = 6636^2 + 4228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415446 + ... + 415594.

Almost surely, 261912480 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 61912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87261300).

61912480 is an abundant number, since it is smaller than the sum of its proper divisors (112610120).

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

61912480 is a wasteful number, since it uses less digits than its factorization.

61912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 61912480 is about 7868.4483858001. The cubic root of 61912480 is about 395.6028395738.

The spelling of 61912480 in words is "sixty-one million, nine hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 70 80 98 106 112 140 149 160 196 212 224 245 265 280 298 371 392 424 490 530 560 596 742 745 784 848 980 1043 1060 1120 1192 1484 1490 1568 1696 1855 1960 2086 2120 2384 2597 2968 2980 3710 3920 4172 4240 4768 5194 5215 5936 5960 7301 7420 7840 7897 8344 8480 10388 10430 11872 11920 12985 14602 14840 15794 16688 20776 20860 23840 25970 29204 29680 31588 33376 36505 39485 41552 41720 51940 55279 58408 59360 63176 73010 78970 83104 83440 103880 110558 116816 126352 146020 157940 166880 207760 221116 233632 252704 276395 292040 315880 386953 415520 442232 552790 584080 631760 773906 884464 1105580 1168160 1263520 1547812 1768928 1934765 2211160 3095624 3869530 4422320 6191248 7739060 8844640 12382496 15478120 30956240 61912480