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3525390624 = 253712374241
BaseRepresentation
bin1101001000100001…
…0011000100100000
3100002200122101210010
43102020103010200
524204444444444
61341453204520
7153235216530
oct32210230440
910080571703
103525390624
111549a9a178
12824790740
134424b9572
142562cb4c0
151597752b9
hexd2213120

3525390624 has 96 divisors (see below), whose sum is σ = 10587217536. Its totient is φ = 1006202880.

The previous prime is 3525390607. The next prime is 3525390643. The reversal of 3525390624 is 4260935253.

It is a Cunningham number, because it is equal to 593752-1.

It is a tau number, because it is divible by the number of its divisors (96).

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, 829144 + ... + 833384.

It is an arithmetic number, because the mean of its divisors is an integer number (110283516).

Almost surely, 23525390624 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 3525390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293608768).

3525390624 is an abundant number, since it is smaller than the sum of its proper divisors (7061826912).

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

3525390624 is a wasteful number, since it uses less digits than its factorization.

3525390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 3525390624 is about 59374.9999915789. Note that the first 5 decimals coincide. The cubic root of 3525390624 is about 1521.9571142591.

The spelling of 3525390624 in words is "three billion, five hundred twenty-five million, three hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1237 2474 3711 4241 4948 7422 8482 8659 9896 12723 14844 16964 17318 19792 25446 25977 29687 29688 33928 34636 39584 50892 51954 59374 59376 67856 69272 89061 101784 103908 118748 118752 135712 138544 178122 203568 207816 237496 277088 356244 407136 415632 474992 712488 831264 949984 1424976 2849952 5246117 10492234 15738351 20984468 31476702 36722819 41968936 62953404 73445638 83937872 110168457 125906808 146891276 167875744 220336914 251813616 293782552 440673828 503627232 587565104 881347656 1175130208 1762695312 3525390624