Search a number
-
+
61087296 = 263378599
BaseRepresentation
bin1110100100000…
…1111001000000
311020221120000110
43221001321000
5111114243141
610021151320
71341143034
oct351017100
9136846013
1061087296
1131533876
121855b540
13c86ab3a
1481821c4
155569e16
hex3a41e40

61087296 has 56 divisors (see below), whose sum is σ = 166014400. Its totient is φ = 19809792.

The previous prime is 61087283. The next prime is 61087297. The reversal of 61087296 is 69278016.

It is not an unprimeable number, because it can be changed into a prime (61087297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2805 + ... + 11403.

Almost surely, 261087296 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 61087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83007200).

61087296 is an abundant number, since it is smaller than the sum of its proper divisors (104927104).

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

61087296 is a wasteful number, since it uses less digits than its factorization.

61087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651 (or 8641 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 61087296 is about 7815.8362316517. The cubic root of 61087296 is about 393.8374104755.

The spelling of 61087296 in words is "sixty-one million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 8599 17198 25797 34396 51594 68792 103188 137584 206376 275168 318163 412752 550336 636326 825504 954489 1272652 1651008 1908978 2545304 3817956 5090608 7635912 10181216 15271824 20362432 30543648 61087296