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3875904 = 26332243
BaseRepresentation
bin1110110010010001000000
321021220202000
432302101000
51443012104
6215024000
744642004
oct16622100
97256660
103875904
11220802a
12136b000
13a59246
1472c704
15518639
hex3b2440

3875904 has 56 divisors (see below), whose sum is σ = 11399520. Its totient is φ = 1291392.

The previous prime is 3875873. The next prime is 3875909. The reversal of 3875904 is 4095783.

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

It is not an unprimeable number, because it can be changed into a prime (3875909) 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, 607 + ... + 2849.

Almost surely, 23875904 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 3875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699760).

3875904 is an abundant number, since it is smaller than the sum of its proper divisors (7523616).

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

3875904 is a wasteful number, since it uses less digits than its factorization.

3875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3875904 is about 1968.7315713423. The cubic root of 3875904 is about 157.0812458983.

The spelling of 3875904 in words is "three million, eight hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2243 4486 6729 8972 13458 17944 20187 26916 35888 40374 53832 60561 71776 80748 107664 121122 143552 161496 215328 242244 322992 430656 484488 645984 968976 1291968 1937952 3875904