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3572064 = 253279157
BaseRepresentation
bin1101101000000101100000
320201110221200
431220011200
51403301224
6204321200
742235116
oct15500540
96643850
103572064
11201a821
121243200
13980b62
1468dab6
154a85c9
hex368160

3572064 has 72 divisors (see below), whose sum is σ = 10352160. Its totient is φ = 1168128.

The previous prime is 3572059. The next prime is 3572069. The reversal of 3572064 is 4602753.

It is a happy number.

3572064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3572059) and next prime (3572069).

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 (3572069) 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, 22674 + ... + 22830.

It is an arithmetic number, because the mean of its divisors is an integer number (143780).

Almost surely, 23572064 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 3572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176080).

3572064 is an abundant number, since it is smaller than the sum of its proper divisors (6780096).

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

3572064 is a wasteful number, since it uses less digits than its factorization.

3572064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3572064 is about 1889.9904761665. The cubic root of 3572064 is about 152.8644191704.

The spelling of 3572064 in words is "three million, five hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 157 158 237 288 314 316 471 474 628 632 711 942 948 1256 1264 1413 1422 1884 1896 2512 2528 2826 2844 3768 3792 5024 5652 5688 7536 7584 11304 11376 12403 15072 22608 22752 24806 37209 45216 49612 74418 99224 111627 148836 198448 223254 297672 396896 446508 595344 893016 1190688 1786032 3572064