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38402676 = 223213312647
BaseRepresentation
bin1001001001111…
…1101001110100
32200021001120100
42102133221310
534312341201
63451034100
7644263104
oct222375164
980231510
1038402676
111a74a554
1210a3b930
137c577a0
145159204
153588886
hex249fa74

38402676 has 72 divisors (see below), whose sum is σ = 107953664. Its totient is φ = 11430720.

The previous prime is 38402669. The next prime is 38402681. The reversal of 38402676 is 67620483.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38402676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13185 + ... + 15831.

Almost surely, 238402676 is an apocalyptic number.

38402676 is a gapful number since it is divisible by the number (36) 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 38402676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53976832).

38402676 is an abundant number, since it is smaller than the sum of its proper divisors (69550988).

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

38402676 is a wasteful number, since it uses less digits than its factorization.

38402676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38402676 is about 6196.9892689918. The cubic root of 38402676 is about 337.3809028338.

The spelling of 38402676 in words is "thirty-eight million, four hundred two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 2647 3627 4836 5294 7254 7941 10588 14508 15882 23823 31764 34411 47646 68822 82057 95292 103233 137644 164114 206466 246171 309699 328228 412932 492342 619398 738513 984684 1066741 1238796 1477026 2133482 2954052 3200223 4266964 6400446 9600669 12800892 19201338 38402676