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61318464 = 263595413
BaseRepresentation
bin1110100111101…
…0010101000000
311021101022010020
43221322111000
5111144142324
610030133440
71343125014
oct351722500
9137338106
1061318464
1131681519
1218651280
13c91c11c
148202544
1555b3679
hex3a7a540

61318464 has 56 divisors (see below), whose sum is σ = 165018720. Its totient is φ = 20089344.

The previous prime is 61318451. The next prime is 61318471. The reversal of 61318464 is 46481316.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8622 + ... + 14034.

Almost surely, 261318464 is an apocalyptic number.

61318464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82509360).

61318464 is an abundant number, since it is smaller than the sum of its proper divisors (103700256).

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

61318464 is a wasteful number, since it uses less digits than its factorization.

61318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5477 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 61318464 is about 7830.6107041533. The cubic root of 61318464 is about 394.3335747705. Note that the first 3 decimals are identical.

The spelling of 61318464 in words is "sixty-one million, three hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5413 5664 10826 11328 16239 21652 32478 43304 64956 86608 129912 173216 259824 319367 346432 519648 638734 958101 1039296 1277468 1916202 2554936 3832404 5109872 7664808 10219744 15329616 20439488 30659232 61318464