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3742856 = 2313172973
BaseRepresentation
bin1110010001110010001000
321001011020022
432101302020
51424232411
6212120012
743546055
oct16216210
97034208
103742856
112127077
121306008
13a10810
146d602c
154ddedb
hex391c88

3742856 has 64 divisors (see below), whose sum is σ = 8391600. Its totient is φ = 1548288.

The previous prime is 3742841. The next prime is 3742861. The reversal of 3742856 is 6582473.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1865956 + 1876900 = 1366^2 + 1370^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 51236 + ... + 51308.

Almost surely, 23742856 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 3742856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195800).

3742856 is an abundant number, since it is smaller than the sum of its proper divisors (4648744).

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

3742856 is a wasteful number, since it uses less digits than its factorization.

3742856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 3742856 is about 1934.6462208890. The cubic root of 3742856 is about 155.2629044967.

The spelling of 3742856 in words is "three million, seven hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 73 104 116 136 146 221 232 292 377 442 493 584 754 884 949 986 1241 1508 1768 1898 1972 2117 2482 3016 3796 3944 4234 4964 6409 7592 8468 9928 12818 16133 16936 25636 27521 32266 35989 51272 55042 64532 71978 110084 129064 143956 220168 287912 467857 935714 1871428 3742856