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38980176 = 2432941683
BaseRepresentation
bin1001010010110…
…0101001010000
32201100101202020
42110230221100
534434331201
63511251440
7652216554
oct224545120
981311666
1038980176
1120004424
1211079b80
1380ca5c1
145269864
15364ea36
hex252ca50

38980176 has 80 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 12221440.

The previous prime is 38980169. The next prime is 38980181. The reversal of 38980176 is 67108983.

It is a congruent number.

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, 56731 + ... + 57413.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 238980176 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 38980176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

38980176 is an abundant number, since it is smaller than the sum of its proper divisors (67887984).

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

38980176 is a wasteful number, since it uses less digits than its factorization.

38980176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 38980176 is about 6243.4106063913. The cubic root of 38980176 is about 339.0636752676.

The spelling of 38980176 in words is "thirty-eight million, nine hundred eighty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 683 696 984 1189 1366 1392 1968 2049 2378 2732 3567 4098 4756 5464 7134 8196 9512 10928 14268 16392 19024 19807 28003 28536 32784 39614 56006 57072 59421 79228 84009 112012 118842 158456 168018 224024 237684 316912 336036 448048 475368 672072 812087 950736 1344144 1624174 2436261 3248348 4872522 6496696 9745044 12993392 19490088 38980176