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3874896 = 243271379
BaseRepresentation
bin1110110010000001010000
321021212100200
432302001100
51442444041
6215015200
744636034
oct16620120
97255320
103874896
1122072a3
12136a500
13a5894c
1472c1c4
155181b6
hex3b2050

3874896 has 60 divisors (see below), whose sum is σ = 11026080. Its totient is φ = 1270080.

The previous prime is 3874891. The next prime is 3874919. The reversal of 3874896 is 6984783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10035 + ... + 10413.

It is an arithmetic number, because the mean of its divisors is an integer number (183768).

Almost surely, 23874896 is an apocalyptic number.

3874896 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 3874896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513040).

3874896 is an abundant number, since it is smaller than the sum of its proper divisors (7151184).

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

3874896 is a wasteful number, since it uses less digits than its factorization.

3874896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 455 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3874896 is about 1968.4755522993. The cubic root of 3874896 is about 157.0676274303.

The spelling of 3874896 in words is "three million, eight hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 379 426 568 639 758 852 1136 1137 1278 1516 1704 2274 2556 3032 3408 3411 4548 5112 6064 6822 9096 10224 13644 18192 26909 27288 53818 54576 80727 107636 161454 215272 242181 322908 430544 484362 645816 968724 1291632 1937448 3874896