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5642409888 = 253317384151
BaseRepresentation
bin1010100000101000…
…00101011110100000
3112120020012010021000
411100110011132200
543023424104023
62331520232000
7256552456413
oct52024053640
915506163230
105642409888
112435aa2075
12111576b600
136bbc85b9b
143b7527b7a
15230550243
hex1505057a0

5642409888 has 96 divisors (see below), whose sum is σ = 17425134720. Its totient is φ = 1770163200.

The previous prime is 5642409881. The next prime is 5642409893. The reversal of 5642409888 is 8889042465.

5642409888 is a `hidden beast` number, since 56 + 424 + 0 + 98 + 88 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5642409881) 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, 177388 + ... + 206763.

It is an arithmetic number, because the mean of its divisors is an integer number (181511820).

Almost surely, 25642409888 is an apocalyptic number.

It is an amenable number.

5642409888 is an abundant number, since it is smaller than the sum of its proper divisors (11782724832).

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

5642409888 is a wasteful number, since it uses less digits than its factorization.

5642409888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384187 (or 384173 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 5642409888 is about 75115.9762500628. The cubic root of 5642409888 is about 1780.2795807111.

The spelling of 5642409888 in words is "five billion, six hundred forty-two million, four hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 384151 768302 1152453 1536604 2304906 3073208 3457359 4609812 6146416 6530567 6914718 9219624 10372077 12292832 13061134 13829436 18439248 19591701 20744154 26122268 27658872 36878496 39183402 41488308 52244536 55317744 58775103 78366804 82976616 104489072 110635488 117550206 156733608 165953232 176325309 208978144 235100412 313467216 331906464 352650618 470200824 626934432 705301236 940401648 1410602472 1880803296 2821204944 5642409888