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3561696 = 253283149
BaseRepresentation
bin1101100101100011100000
320200221201200
431211203200
51402433241
6204201200
742162645
oct15454340
96627650
103561696
112012a56
121239200
13979218
14689dcc
154a54b6
hex3658e0

3561696 has 72 divisors (see below), whose sum is σ = 10319400. Its totient is φ = 1165056.

The previous prime is 3561689. The next prime is 3561703. The reversal of 3561696 is 6961653.

3561696 is a `hidden beast` number, since 3 + 561 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (3561689) and next prime (3561703).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 3561696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23830 + ... + 23978.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

Almost surely, 23561696 is an apocalyptic number.

3561696 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 3561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700).

3561696 is an abundant number, since it is smaller than the sum of its proper divisors (6757704).

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

3561696 is a wasteful number, since it uses less digits than its factorization.

3561696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 3561696 is about 1887.2456119965. The cubic root of 3561696 is about 152.7163783200.

The spelling of 3561696 in words is "three million, five hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 149 166 249 288 298 332 447 498 596 664 747 894 996 1192 1328 1341 1494 1788 1992 2384 2656 2682 2988 3576 3984 4768 5364 5976 7152 7968 10728 11952 12367 14304 21456 23904 24734 37101 42912 49468 74202 98936 111303 148404 197872 222606 296808 395744 445212 593616 890424 1187232 1780848 3561696