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3942816 = 25367613
BaseRepresentation
bin1111000010100110100000
321102022112020
433002212200
52002132231
6220301440
745341043
oct17024640
97368466
103942816
112253329
1213a1880
13a80837
14748c5a
1552d396
hex3c29a0

3942816 has 48 divisors (see below), whose sum is σ = 10521504. Its totient is φ = 1292544.

The previous prime is 3942781. The next prime is 3942839. The reversal of 3942816 is 6182493.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6126 + ... + 6738.

It is an arithmetic number, because the mean of its divisors is an integer number (219198).

Almost surely, 23942816 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 3942816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260752).

3942816 is an abundant number, since it is smaller than the sum of its proper divisors (6578688).

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

3942816 is a wasteful number, since it uses less digits than its factorization.

3942816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3942816 is about 1985.6525375805. The cubic root of 3942816 is about 157.9800220428.

The spelling of 3942816 in words is "three million, nine hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 613 804 1072 1226 1608 1839 2144 2452 3216 3678 4904 6432 7356 9808 14712 19616 29424 41071 58848 82142 123213 164284 246426 328568 492852 657136 985704 1314272 1971408 3942816