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38844768 = 2532931381
BaseRepresentation
bin1001010000101…
…1100101100000
32201002112000010
42110023211200
534421013033
63504324520
7651114024
oct224134540
981075003
1038844768
111aa21716
1211013740
138080a91
145232384
153624863
hex250b960

38844768 has 48 divisors (see below), whose sum is σ = 102389616. Its totient is φ = 12894720.

The previous prime is 38844761. The next prime is 38844787. The reversal of 38844768 is 86744883.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38844761) 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, 27438 + ... + 28818.

It is an arithmetic number, because the mean of its divisors is an integer number (2133117).

Almost surely, 238844768 is an apocalyptic number.

It is an amenable number.

38844768 is an abundant number, since it is smaller than the sum of its proper divisors (63544848).

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

38844768 is a wasteful number, since it uses less digits than its factorization.

38844768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 38844768 is about 6232.5570996181. The cubic root of 38844768 is about 338.6706105175.

The spelling of 38844768 in words is "thirty-eight million, eight hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 1172 1381 1758 2344 2762 3516 4143 4688 5524 7032 8286 9376 11048 14064 16572 22096 28128 33144 44192 66288 132576 404633 809266 1213899 1618532 2427798 3237064 4855596 6474128 9711192 12948256 19422384 38844768