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61492992 = 2831129251
BaseRepresentation
bin1110101010010…
…0111100000000
311021201011112020
43222210330000
5111220233432
610034001440
71344452601
oct352447400
9137634466
1061492992
1131790660
1218716280
13c9806b2
148249da8
1555ea22c
hex3aa4f00

61492992 has 144 divisors (see below), whose sum is σ = 185431680. Its totient is φ = 17920000.

The previous prime is 61492979. The next prime is 61492993. The reversal of 61492992 is 29929416.

It is a super-2 number, since 2×614929922 = 7562776130224128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61492993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244867 + ... + 245117.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 261492992 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 61492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840).

61492992 is an abundant number, since it is smaller than the sum of its proper divisors (123938688).

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

61492992 is a wasteful number, since it uses less digits than its factorization.

61492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 61492992 is about 7841.7467441891. The cubic root of 61492992 is about 394.7073450483.

The spelling of 61492992 in words is "sixty-one million, four hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 251 256 264 319 348 352 384 464 502 528 638 696 704 753 768 928 957 1004 1056 1276 1392 1408 1506 1856 1914 2008 2112 2552 2761 2784 2816 3012 3712 3828 4016 4224 5104 5522 5568 6024 7279 7424 7656 8032 8283 8448 10208 11044 11136 12048 14558 15312 16064 16566 20416 21837 22088 22272 24096 29116 30624 32128 33132 40832 43674 44176 48192 58232 61248 64256 66264 80069 81664 87348 88352 96384 116464 122496 132528 160138 174696 176704 192768 232928 240207 244992 265056 320276 349392 353408 465856 480414 530112 640552 698784 706816 931712 960828 1060224 1281104 1397568 1863424 1921656 2120448 2562208 2795136 3843312 5124416 5590272 7686624 10248832 15373248 20497664 30746496 61492992