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5087683584 = 210327432
BaseRepresentation
bin1001011110011111…
…11110010000000000
3111010120101002211100
410233033332100000
540404421333314
62200502414400
7240035411514
oct45717762000
914116332740
105087683584
112180956a85
12b9ba31400
1363107c379
143639a8144
151eb9c6c09
hex12f3fe400

5087683584 has 99 divisors (see below), whose sum is σ = 14710374523. Its totient is φ = 1693612032.

The previous prime is 5087683577. The next prime is 5087683591. The reversal of 5087683584 is 4853867805.

The square root of 5087683584 is 71328.

It is a perfect power (a square), and thus also a powerful number.

5087683584 is a `hidden beast` number, since 50 + 8 + 7 + 6 + 8 + 3 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (5087683577) and next prime (5087683591).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5087683584.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6847117 + ... + 6847859.

Almost surely, 25087683584 is an apocalyptic number.

5087683584 is the 71328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5087683584

5087683584 is an abundant number, since it is smaller than the sum of its proper divisors (9622690939).

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

5087683584 is an frugal number, since it uses more digits than its factorization.

5087683584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The cubic root of 5087683584 is about 1719.9138662473.

The spelling of 5087683584 in words is "five billion, eighty-seven million, six hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 743 768 1024 1152 1486 1536 2229 2304 2972 3072 4458 4608 5944 6687 8916 9216 11888 13374 17832 23776 26748 35664 47552 53496 71328 95104 106992 142656 190208 213984 285312 380416 427968 552049 570624 760832 855936 1104098 1141248 1656147 1711872 2208196 2282496 3312294 3423744 4416392 4968441 6624588 6847488 8832784 9936882 13249176 17665568 19873764 26498352 35331136 39747528 52996704 70662272 79495056 105993408 141324544 158990112 211986816 282649088 317980224 423973632 565298176 635960448 847947264 1271920896 1695894528 2543841792 5087683584