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61025536 = 2811131667
BaseRepresentation
bin1110100011001…
…0110100000000
311020211102022001
43220302310000
5111110304121
610015553344
71340465005
oct350626400
9136742261
1061025536
11314a1430
121852b854
13c8489b0
1481678ac
155556991
hex3a32d00

61025536 has 72 divisors (see below), whose sum is σ = 143194464. Its totient is φ = 25589760.

The previous prime is 61025527. The next prime is 61025551. The reversal of 61025536 is 63552016.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 35775 + ... + 37441.

It is an arithmetic number, because the mean of its divisors is an integer number (1988812).

Almost surely, 261025536 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 61025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71597232).

61025536 is an abundant number, since it is smaller than the sum of its proper divisors (82168928).

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

61025536 is a wasteful number, since it uses less digits than its factorization.

61025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 61025536 is about 7811.8842797369. The cubic root of 61025536 is about 393.7046409159.

The spelling of 61025536 in words is "sixty-one million, twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 1667 2288 2816 3328 3334 4576 6668 9152 13336 18304 18337 21671 26672 36608 36674 43342 53344 73348 86684 106688 146696 173368 213376 238381 293392 346736 426752 476762 586784 693472 953524 1173568 1386944 1907048 2347136 2773888 3814096 4694272 5547776 7628192 15256384 30512768 61025536