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38420656 = 2431711091
BaseRepresentation
bin1001001010010…
…0000010110000
32200021222020021
42102210002300
534313430111
63451253224
7644366401
oct222440260
980258207
1038420656
111a76200a
1210a4a214
137c62a21
1451619a8
15358dd71
hex24a40b0

38420656 has 40 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 18312000.

The previous prime is 38420651. The next prime is 38420671. The reversal of 38420656 is 65602483.

It is a happy number.

It is a super-2 number, since 2×384206562 = 2952293614940672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38420651) 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, 34671 + ... + 35761.

Almost surely, 238420656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38420656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

38420656 is an abundant number, since it is smaller than the sum of its proper divisors (39574352).

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

38420656 is a wasteful number, since it uses less digits than its factorization.

38420656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 38420656 is about 6198.4398036925. The cubic root of 38420656 is about 337.4335481423.

The spelling of 38420656 in words is "thirty-eight million, four hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 1091 1136 2182 2201 4364 4402 8728 8804 17456 17608 33821 35216 67642 77461 135284 154922 270568 309844 541136 619688 1239376 2401291 4802582 9605164 19210328 38420656