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38076840 = 23325105769
BaseRepresentation
bin1001000101000…
…0000110101000
32122122111121100
42101100012220
534221424330
63440041400
7641435124
oct221200650
978574540
1038076840
111a54776a
1210903260
137b72399
1450b2584
153522060
hex24501a8

38076840 has 48 divisors (see below), whose sum is σ = 123750900. Its totient is φ = 10153728.

The previous prime is 38076839. The next prime is 38076851. The reversal of 38076840 is 4867083.

It can be written as a sum of positive squares in 2 ways, for example, as 35070084 + 3006756 = 5922^2 + 1734^2 .

It is a super-3 number, since 3×380768403 (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38076795 and 38076804.

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, 52525 + ... + 53244.

Almost surely, 238076840 is an apocalyptic number.

38076840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38076840 is an abundant number, since it is smaller than the sum of its proper divisors (85674060).

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

38076840 is a wasteful number, since it uses less digits than its factorization.

38076840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105786 (or 105779 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38076840 is about 6170.6434024338. The cubic root of 38076840 is about 336.4239970477.

The spelling of 38076840 in words is "thirty-eight million, seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 105769 211538 317307 423076 528845 634614 846152 951921 1057690 1269228 1586535 1903842 2115380 2538456 3173070 3807684 4230760 4759605 6346140 7615368 9519210 12692280 19038420 38076840