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5700576 = 253717499
BaseRepresentation
bin10101101111101111100000
3101201121201110
4111233233200
52424404301
6322103320
766311520
oct25575740
911647643
105700576
113243a22
121aaab40
13124792b
14a85680
157790d6
hex56fbe0

5700576 has 96 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 1529856.

The previous prime is 5700571. The next prime is 5700577. The reversal of 5700576 is 6750075.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5700571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11175 + ... + 11673.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 25700576 is an apocalyptic number.

5700576 is a gapful number since it is divisible by the number (56) 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 5700576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

5700576 is an abundant number, since it is smaller than the sum of its proper divisors (12443424).

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

5700576 is a wasteful number, since it uses less digits than its factorization.

5700576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 5700576 is about 2387.5879041409. The cubic root of 5700576 is about 178.6376156325.

The spelling of 5700576 in words is "five million, seven hundred thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 499 544 672 714 816 952 998 1428 1497 1632 1904 1996 2856 2994 3493 3808 3992 5712 5988 6986 7984 8483 10479 11424 11976 13972 15968 16966 20958 23952 25449 27944 33932 41916 47904 50898 55888 59381 67864 83832 101796 111776 118762 135728 167664 178143 203592 237524 271456 335328 356286 407184 475048 712572 814368 950096 1425144 1900192 2850288 5700576