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61426624 = 267314423
BaseRepresentation
bin1110101001010…
…0101111000000
311021120210111011
43222110233000
5111211122444
610032330304
71344055240
oct352245700
9137523434
1061426624
1131745806
12186a3994
13c95941c
14822db20
1555d5734
hex3a94bc0

61426624 has 56 divisors (see below), whose sum is σ = 143833088. Its totient is φ = 25470720.

The previous prime is 61426613. The next prime is 61426637. The reversal of 61426624 is 42662416.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 11677 + ... + 16099.

It is an arithmetic number, because the mean of its divisors is an integer number (2568448).

Almost surely, 261426624 is an apocalyptic number.

61426624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71916544).

61426624 is an abundant number, since it is smaller than the sum of its proper divisors (82406464).

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

61426624 is a wasteful number, since it uses less digits than its factorization.

61426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4463 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 61426624 is about 7837.5138915347. The cubic root of 61426624 is about 394.5652943521.

The spelling of 61426624 in words is "sixty-one million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 4423 6944 8846 13888 17692 30961 35384 61922 70768 123844 137113 141536 247688 274226 283072 495376 548452 959791 990752 1096904 1919582 1981504 2193808 3839164 4387616 7678328 8775232 15356656 30713312 61426624