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61890426 = 23313131673
BaseRepresentation
bin1110110000010…
…1111101111010
311022110100201000
43230011331322
5111320443201
610050305430
71351026363
oct354057572
9138410630
1061890426
1131a32214
1218888276
13ca8c570
148310b6a
155677d86
hex3b05f7a

61890426 has 64 divisors (see below), whose sum is σ = 149466240. Its totient is φ = 18869760.

The previous prime is 61890419. The next prime is 61890457. The reversal of 61890426 is 62409816.

It is a super-2 number, since 2×618904262 = 7660849660922952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91626 + ... + 92298.

It is an arithmetic number, because the mean of its divisors is an integer number (2335410).

Almost surely, 261890426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61890426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74733120).

61890426 is an abundant number, since it is smaller than the sum of its proper divisors (87575814).

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

61890426 is a wasteful number, since it uses less digits than its factorization.

61890426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61890426 is about 7867.0468410961. The cubic root of 61890426 is about 395.5558611015. Note that the first 3 decimals are identical.

The spelling of 61890426 in words is "sixty-one million, eight hundred ninety thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 131 234 262 351 393 673 702 786 1179 1346 1703 2019 2358 3406 3537 4038 5109 6057 7074 8749 10218 12114 15327 17498 18171 26247 30654 36342 45981 52494 78741 88163 91962 157482 176326 236223 264489 472446 528978 793467 1146119 1586934 2292238 2380401 3438357 4760802 6876714 10315071 20630142 30945213 61890426