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38419116 = 22317474007
BaseRepresentation
bin1001001010001…
…1101010101100
32200021220010020
42102203222230
534313402431
63451242140
7644362041
oct222435254
980256106
1038419116
111a76093a
1210a49350
137c62108
1451611c8
15358d696
hex24a3aac

38419116 has 48 divisors (see below), whose sum is σ = 96961536. Its totient is φ = 11793664.

The previous prime is 38419093. The next prime is 38419127. The reversal of 38419116 is 61191483.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7585 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (2020032).

Almost surely, 238419116 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 38419116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48480768).

38419116 is an abundant number, since it is smaller than the sum of its proper divisors (58542420).

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

38419116 is a wasteful number, since it uses less digits than its factorization.

38419116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4076 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 38419116 is about 6198.3155776388. The cubic root of 38419116 is about 337.4290396768.

The spelling of 38419116 in words is "thirty-eight million, four hundred nineteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3196 4007 4794 8014 9588 12021 16028 24042 48084 68119 136238 188329 204357 272476 376658 408714 564987 753316 817428 1129974 2259948 3201593 6403186 9604779 12806372 19209558 38419116