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5192589560 = 2358311313841
BaseRepresentation
bin1001101011000000…
…01010000011111000
3111101212202212202212
410311200022003320
541113300331220
62215131114252
7242451166034
oct46540120370
914355685685
105192589560
112225099434
12100aba2988
13649a1cc02
143738b51c4
15205cea0c5
hex13580a0f8

5192589560 has 64 divisors (see below), whose sum is σ = 11929589280. Its totient is φ = 2033704960.

The previous prime is 5192589551. The next prime is 5192589569. The reversal of 5192589560 is 659852915.

It is an interprime number because it is at equal distance from previous prime (5192589551) and next prime (5192589569).

It is a junction number, because it is equal to n+sod(n) for n = 5192589499 and 5192589508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5192589569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368240 + ... + 382080.

Almost surely, 25192589560 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 5192589560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964794640).

5192589560 is an abundant number, since it is smaller than the sum of its proper divisors (6736999720).

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

5192589560 is a wasteful number, since it uses less digits than its factorization.

5192589560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 50.

The square root of 5192589560 is about 72059.6250337177. The cubic root of 5192589560 is about 1731.6548434203.

The spelling of 5192589560 in words is "five billion, one hundred ninety-two million, five hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 83 113 166 226 332 415 452 565 664 830 904 1130 1660 2260 3320 4520 9379 13841 18758 27682 37516 46895 55364 69205 75032 93790 110728 138410 187580 276820 375160 553640 1148803 1564033 2297606 3128066 4595212 5744015 6256132 7820165 9190424 11488030 12512264 15640330 22976060 31280660 45952120 62561320 129814739 259629478 519258956 649073695 1038517912 1298147390 2596294780 5192589560