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38847072 = 2531136787
BaseRepresentation
bin1001010000110…
…0001001100000
32201002122011110
42110030021200
534421101242
63504343320
7651123525
oct224141140
981078143
1038847072
111aa23420
1211014b40
138081b44
14523314c
15362539c
hex250c260

38847072 has 48 divisors (see below), whose sum is σ = 111246912. Its totient is φ = 11771520.

The previous prime is 38847059. The next prime is 38847079. The reversal of 38847072 is 27074883.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38847072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38847079) 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, 17338 + ... + 19449.

It is an arithmetic number, because the mean of its divisors is an integer number (2317644).

Almost surely, 238847072 is an apocalyptic number.

38847072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38847072 is an abundant number, since it is smaller than the sum of its proper divisors (72399840).

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

38847072 is a wasteful number, since it uses less digits than its factorization.

38847072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36811 (or 36803 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 38847072 is about 6232.7419327291. The cubic root of 38847072 is about 338.6773062426.

The spelling of 38847072 in words is "thirty-eight million, eight hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 36787 73574 110361 147148 220722 294296 404657 441444 588592 809314 882888 1177184 1213971 1618628 1765776 2427942 3237256 3531552 4855884 6474512 9711768 12949024 19423536 38847072