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61996608 = 2632372909
BaseRepresentation
bin1110110001111…
…1111001000000
311022122202100200
43230133321000
5111332342413
610052445200
71351651062
oct354377100
9138582320
1061996608
1131aa4a73
1218919800
13cac89ab
14833b732
155699573
hex3b1fe40

61996608 has 84 divisors (see below), whose sum is σ = 182567580. Its totient is φ = 20100096.

The previous prime is 61996541. The next prime is 61996609. The reversal of 61996608 is 80669916.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 7354944 = 7392^2 + 2712^2 .

It is not an unprimeable number, because it can be changed into a prime (61996609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19858 + ... + 22766.

Almost surely, 261996608 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 61996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91283790).

61996608 is an abundant number, since it is smaller than the sum of its proper divisors (120570972).

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

61996608 is a wasteful number, since it uses less digits than its factorization.

61996608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 61996608 is about 7873.7924788503. The cubic root of 61996608 is about 395.7819430040.

The spelling of 61996608 in words is "sixty-one million, nine hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 2909 3552 5328 5818 7104 8727 10656 11636 17454 21312 23272 26181 34908 46544 52362 69816 93088 104724 107633 139632 186176 209448 215266 279264 322899 418896 430532 558528 645798 837792 861064 968697 1291596 1675584 1722128 1937394 2583192 3444256 3874788 5166384 6888512 7749576 10332768 15499152 20665536 30998304 61996608