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38408472 = 2333414337
BaseRepresentation
bin1001001010000…
…1000100011000
32200021100112000
42102201010120
534313032342
63451121000
7644316024
oct222410430
980240460
1038408472
111a753943
1210a43160
137c5a30b
14515b384
15358a44c
hex24a1118

38408472 has 64 divisors (see below), whose sum is σ = 109317600. Its totient is φ = 12487680.

The previous prime is 38408471. The next prime is 38408501. The reversal of 38408472 is 27480483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38408471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6688 + ... + 11024.

Almost surely, 238408472 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 38408472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54658800).

38408472 is an abundant number, since it is smaller than the sum of its proper divisors (70909128).

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

38408472 is a wasteful number, since it uses less digits than its factorization.

38408472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38408472 is about 6197.4568977928. The cubic root of 38408472 is about 337.3978752739.

The spelling of 38408472 in words is "thirty-eight million, four hundred eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4337 4428 8674 8856 13011 17348 26022 34696 39033 52044 78066 104088 117099 156132 177817 234198 312264 355634 468396 533451 711268 936792 1066902 1422536 1600353 2133804 3200706 4267608 4801059 6401412 9602118 12802824 19204236 38408472