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61425024 = 273198419
BaseRepresentation
bin1110101001010…
…0010110000000
311021120201021220
43222110112000
5111211100044
610032315040
71344050463
oct352242600
9137521256
1061425024
1131744591
12186a2a80
13c95878b
14822d2da
1555d5019
hex3a94580

61425024 has 64 divisors (see below), whose sum is σ = 171768000. Its totient is φ = 19395072.

The previous prime is 61425017. The next prime is 61425037. The reversal of 61425024 is 42052416.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×614250243 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61424985 and 61425003.

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, 3087 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (2683875).

Almost surely, 261425024 is an apocalyptic number.

61425024 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 61425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85884000).

61425024 is an abundant number, since it is smaller than the sum of its proper divisors (110342976).

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

61425024 is a wasteful number, since it uses less digits than its factorization.

61425024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 61425024 is about 7837.4118176857. The cubic root of 61425024 is about 394.5618685306.

The spelling of 61425024 in words is "sixty-one million, four hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 8419 16838 25257 33676 50514 67352 101028 134704 159961 202056 269408 319922 404112 479883 538816 639844 808224 959766 1077632 1279688 1616448 1919532 2559376 3232896 3839064 5118752 7678128 10237504 15356256 20475008 30712512 61425024