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38934816 = 253431941
BaseRepresentation
bin1001010010000…
…1100100100000
32201021002112020
42110201210200
534431403231
63510301440
7651640404
oct224414440
981232466
1038934816
111aa83338
1211057880
1380b2a6b
145257104
153641396
hex2521920

38934816 has 48 divisors (see below), whose sum is σ = 102549888. Its totient is φ = 12934400.

The previous prime is 38934757. The next prime is 38934817. The reversal of 38934816 is 61843983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (38934817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40906 + ... + 41846.

It is an arithmetic number, because the mean of its divisors is an integer number (2136456).

Almost surely, 238934816 is an apocalyptic number.

It is an amenable number.

38934816 is an abundant number, since it is smaller than the sum of its proper divisors (63615072).

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

38934816 is a wasteful number, since it uses less digits than its factorization.

38934816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 38934816 is about 6239.7769190893. The cubic root of 38934816 is about 338.9321049887.

The spelling of 38934816 in words is "thirty-eight million, nine hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431 862 941 1293 1724 1882 2586 2823 3448 3764 5172 5646 6896 7528 10344 11292 13792 15056 20688 22584 30112 41376 45168 90336 405571 811142 1216713 1622284 2433426 3244568 4866852 6489136 9733704 12978272 19467408 38934816