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3955104 = 253231443
BaseRepresentation
bin1111000101100110100000
321102221101100
433011212200
52003030404
6220434400
745421626
oct17054640
97387340
103955104
11226158a
1213a8a00
13a862ca
1474d516
15531d39
hex3c59a0

3955104 has 72 divisors (see below), whose sum is σ = 11636352. Its totient is φ = 1272960.

The previous prime is 3955087. The next prime is 3955109. The reversal of 3955104 is 4015593.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3955109) 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, 8707 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (161616).

Almost surely, 23955104 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 3955104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818176).

3955104 is an abundant number, since it is smaller than the sum of its proper divisors (7681248).

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

3955104 is a wasteful number, since it uses less digits than its factorization.

3955104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 3955104 is about 1988.7443274589. The cubic root of 3955104 is about 158.1439696136.

The spelling of 3955104 in words is "three million, nine hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 443 496 558 744 886 992 1116 1329 1488 1772 2232 2658 2976 3544 3987 4464 5316 7088 7974 8928 10632 13733 14176 15948 21264 27466 31896 41199 42528 54932 63792 82398 109864 123597 127584 164796 219728 247194 329592 439456 494388 659184 988776 1318368 1977552 3955104