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38079216 = 24327371021
BaseRepresentation
bin1001000101000…
…0101011110000
32122122121212100
42101100223300
534222013331
63440100400
7641445060
oct221205360
978577770
1038079216
111a54952a
1210904700
137b734a6
1450b33a0
153522ae6
hex2450af0

38079216 has 120 divisors (see below), whose sum is σ = 125207264. Its totient is φ = 10575360.

The previous prime is 38079161. The next prime is 38079221. The reversal of 38079216 is 61297083.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36786 + ... + 37806.

Almost surely, 238079216 is an apocalyptic number.

38079216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38079216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62603632).

38079216 is an abundant number, since it is smaller than the sum of its proper divisors (87128048).

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

38079216 is a wasteful number, since it uses less digits than its factorization.

38079216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 38079216 is about 6170.8359239247. The cubic root of 38079216 is about 336.4309945366.

The spelling of 38079216 in words is "thirty-eight million, seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1021 1036 1332 1554 1776 2042 2072 2331 2664 3063 3108 4084 4144 4662 5328 6126 6216 7147 8168 9189 9324 12252 12432 14294 16336 18378 18648 21441 24504 28588 36756 37296 37777 42882 49008 57176 64323 73512 75554 85764 113331 114352 128646 147024 151108 171528 226662 257292 264439 302216 339993 343056 453324 514584 528878 604432 679986 793317 906648 1029168 1057756 1359972 1586634 1813296 2115512 2379951 2719944 3173268 4231024 4759902 5439888 6346536 9519804 12693072 19039608 38079216