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61426944 = 28338887
BaseRepresentation
bin1110101001010…
…0110100000000
311021120210221000
43222110310000
5111211130234
610032332000
71344056205
oct352246400
9137523830
1061426944
1131745a77
12186a4000
13c959607
14822dcac
1555d5899
hex3a94d00

61426944 has 72 divisors (see below), whose sum is σ = 181670720. Its totient is φ = 20473344.

The previous prime is 61426931. The next prime is 61426949. The reversal of 61426944 is 44962416.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61426899 and 61426908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61426949) 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, 2469 + ... + 11355.

Almost surely, 261426944 is an apocalyptic number.

61426944 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 61426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90835360).

61426944 is an abundant number, since it is smaller than the sum of its proper divisors (120243776).

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

61426944 is an equidigital number, since it uses as much as digits as its factorization.

61426944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912 (or 8892 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61426944 is about 7837.5343061450. The cubic root of 61426944 is about 394.5659795093.

The spelling of 61426944 in words is "sixty-one million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 8887 17774 26661 35548 53322 71096 79983 106644 142192 159966 213288 239949 284384 319932 426576 479898 568768 639864 853152 959796 1137536 1279728 1706304 1919592 2275072 2559456 3412608 3839184 5118912 6825216 7678368 10237824 15356736 20475648 30713472 61426944