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61007056 = 24112511381
BaseRepresentation
bin1110100010111…
…0010011010000
311020210110221121
43220232103100
5111104211211
610015332024
71340360065
oct350562320
9136713847
1061007056
1131489560
1218521014
13c840466
148160c6c
155551271
hex3a2e4d0

61007056 has 40 divisors (see below), whose sum is σ = 129554208. Its totient is φ = 27600000.

The previous prime is 61007053. The next prime is 61007069. The reversal of 61007056 is 65070016.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61007056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61007053) 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, 43486 + ... + 44866.

Almost surely, 261007056 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 61007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64777104).

61007056 is an abundant number, since it is smaller than the sum of its proper divisors (68547152).

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

61007056 is a wasteful number, since it uses less digits than its factorization.

61007056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 61007056 is about 7810.7013769571. The cubic root of 61007056 is about 393.6648958256.

The spelling of 61007056 in words is "sixty-one million, seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 251 502 1004 1381 2008 2761 2762 4016 5522 5524 11044 11048 15191 22088 22096 30382 44176 60764 121528 243056 346631 693262 1386524 2773048 3812941 5546096 7625882 15251764 30503528 61007056