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61496768 = 2619103491
BaseRepresentation
bin1110101010010…
…1110111000000
311021201100201002
43222211313000
5111220344033
610034031132
71344466604
oct352456700
9137640632
1061496768
1131793483
12187184a8
13c982328
14824b504
1555eb3e8
hex3aa5dc0

61496768 has 56 divisors (see below), whose sum is σ = 129966720. Its totient is φ = 28788480.

The previous prime is 61496767. The next prime is 61496783. The reversal of 61496768 is 86769416.

It is a happy number.

61496768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61496767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125003 + ... + 125493.

Almost surely, 261496768 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 61496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64983360).

61496768 is an abundant number, since it is smaller than the sum of its proper divisors (68469952).

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

61496768 is a wasteful number, since it uses less digits than its factorization.

61496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 61496768 is about 7841.9875031780. The cubic root of 61496768 is about 394.7154239332.

The spelling of 61496768 in words is "sixty-one million, four hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 152 206 304 412 491 608 824 982 1216 1648 1957 1964 3296 3914 3928 6592 7828 7856 9329 15656 15712 18658 31312 31424 37316 50573 62624 74632 101146 125248 149264 202292 298528 404584 597056 809168 960887 1618336 1921774 3236672 3843548 7687096 15374192 30748384 61496768