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38801536 = 272910453
BaseRepresentation
bin1001010000000…
…1000010000000
32201000022200221
42110001002000
534413122121
63503352424
7650544004
oct224010200
981008627
1038801536
111a9a2194
1210bb2714
1380671b7
145220704
153616b41
hex2501080

38801536 has 32 divisors (see below), whose sum is σ = 79973100. Its totient is φ = 18729984.

The previous prime is 38801533. The next prime is 38801569. The reversal of 38801536 is 63510883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 4227136 = 5880^2 + 2056^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (38801533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1515 + ... + 8938.

Almost surely, 238801536 is an apocalyptic number.

It is an amenable number.

38801536 is an abundant number, since it is smaller than the sum of its proper divisors (41171564).

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

38801536 is a wasteful number, since it uses less digits than its factorization.

38801536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 38801536 is about 6229.0878947082. The cubic root of 38801536 is about 338.5449235535.

The spelling of 38801536 in words is "thirty-eight million, eight hundred one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 10453 20906 41812 83624 167248 303137 334496 606274 668992 1212548 1337984 2425096 4850192 9700384 19400768 38801536