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38968776 = 2334711271
BaseRepresentation
bin1001010010100…
…1110111001000
32201022211010000
42110221313020
534434000101
63511123000
7652141410
oct224516710
981284100
1038968776
111aaa6900
1211073460
1380c5362
145265640
15364b486
hex2529dc8

38968776 has 240 divisors, whose sum is σ = 139043520. Its totient is φ = 9979200.

The previous prime is 38968759. The next prime is 38968801. The reversal of 38968776 is 67786983.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548821 + ... + 548891.

It is an arithmetic number, because the mean of its divisors is an integer number (579348).

Almost surely, 238968776 is an apocalyptic number.

38968776 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 38968776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

38968776 is an abundant number, since it is smaller than the sum of its proper divisors (100074744).

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

38968776 is a wasteful number, since it uses less digits than its factorization.

38968776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 38968776 is about 6242.4975770920. The cubic root of 38968776 is about 339.0306182698.

The spelling of 38968776 in words is "thirty-eight million, nine hundred sixty-eight thousand, seven hundred seventy-six".