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38483136 = 263271941
BaseRepresentation
bin1001001011001…
…1010011000000
32200102010221100
42102303103000
534322430021
63452454400
7645046506
oct222632300
980363840
1038483136
111a7a4a4a
1210a7a400
137c852b3
14517a676
1535a2626
hex24b34c0

38483136 has 84 divisors (see below), whose sum is σ = 111977424. Its totient is φ = 12633600.

The previous prime is 38483129. The next prime is 38483143. The reversal of 38483136 is 63138483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38483129) and next prime (38483143).

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 self number, because there is not a number n which added to its sum of digits gives 38483136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40426 + ... + 41366.

Almost surely, 238483136 is an apocalyptic number.

38483136 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 38483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55988712).

38483136 is an abundant number, since it is smaller than the sum of its proper divisors (73494288).

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

38483136 is a wasteful number, since it uses less digits than its factorization.

38483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

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

The square root of 38483136 is about 6203.4777343036. The cubic root of 38483136 is about 337.6163615229.

The spelling of 38483136 in words is "thirty-eight million, four hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 941 1136 1278 1704 1882 2272 2556 2823 3408 3764 4544 5112 5646 6816 7528 8469 10224 11292 13632 15056 16938 20448 22584 30112 33876 40896 45168 60224 66811 67752 90336 133622 135504 180672 200433 267244 271008 400866 534488 542016 601299 801732 1068976 1202598 1603464 2137952 2405196 3206928 4275904 4810392 6413856 9620784 12827712 19241568 38483136