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5858077480 = 2354317211979
BaseRepresentation
bin1010111010010101…
…10010101100101000
3120010021000011120121
411131022302230220
543444131434410
62405142533024
7265111560043
oct53512625450
916107004517
105858077480
112536806352
121175a37174
13724867648
143d8027c5a
152444519da
hex15d2b2b28

5858077480 has 64 divisors (see below), whose sum is σ = 13501857600. Its totient is φ = 2286251520.

The previous prime is 5858077453. The next prime is 5858077487. The reversal of 5858077480 is 847708585.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5858077487) 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, 2959131 + ... + 2961109.

It is an arithmetic number, because the mean of its divisors is an integer number (210966525).

Almost surely, 25858077480 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 5858077480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750928800).

5858077480 is an abundant number, since it is smaller than the sum of its proper divisors (7643780120).

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

5858077480 is a wasteful number, since it uses less digits than its factorization.

5858077480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 52.

The square root of 5858077480 is about 76538.0786275694. The cubic root of 5858077480 is about 1802.6788794487.

The spelling of 5858077480 in words is "five billion, eight hundred fifty-eight million, seventy-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1721 1979 3442 3958 6884 7916 8605 9895 13768 15832 17210 19790 34420 39580 68840 74003 79160 85097 148006 170194 296012 340388 370015 425485 592024 680776 740030 850970 1480060 1701940 2960120 3403880 3405859 6811718 13623436 17029295 27246872 34058590 68117180 136234360 146451937 292903874 585807748 732259685 1171615496 1464519370 2929038740 5858077480