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61423488 = 273372539
BaseRepresentation
bin1110101001001…
…1111110000000
311021120122012000
43222103332000
5111211022423
610032304000
71344043140
oct352237600
9137518160
1061423488
1131743415
12186a2000
13c957b79
14822c920
1555d4843
hex3a93f80

61423488 has 128 divisors (see below), whose sum is σ = 207264000. Its totient is φ = 17542656.

The previous prime is 61423487. The next prime is 61423507. The reversal of 61423488 is 88432416.

61423488 is a `hidden beast` number, since 614 + 2 + 34 + 8 + 8 = 666.

61423488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×614234882 = 7545689756172288, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (61423487) 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 15 ways as a sum of consecutive naturals, for example, 22923 + ... + 25461.

It is an arithmetic number, because the mean of its divisors is an integer number (1619250).

Almost surely, 261423488 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 61423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632000).

61423488 is an abundant number, since it is smaller than the sum of its proper divisors (145840512).

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

61423488 is a wasteful number, since it uses less digits than its factorization.

61423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2551 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 61423488 is about 7837.3138255400. The cubic root of 61423488 is about 394.5585796860.

The spelling of 61423488 in words is "sixty-one million, four hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2539 2688 3024 3456 4032 5078 6048 7617 8064 10156 12096 15234 17773 20312 22851 24192 30468 35546 40624 45702 53319 60936 68553 71092 81248 91404 106638 121872 137106 142184 159957 162496 182808 213276 243744 274212 284368 319914 324992 365616 426552 479871 487488 548424 568736 639828 731232 853104 959742 974976 1096848 1137472 1279656 1462464 1706208 1919484 2193696 2274944 2559312 2924928 3412416 3838968 4387392 5118624 6824832 7677936 8774784 10237248 15355872 20474496 30711744 61423488