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5485230760 = 235375369929
BaseRepresentation
bin1010001101111000…
…11111101010101000
3112011021102121000211
411012330133222220
542213204341020
62304143310504
7252633456262
oct50674375250
915137377024
105485230760
1123652a7069
121090bab434
13695542399
143a06d0b32
1522185385a
hex146f1faa8

5485230760 has 64 divisors (see below), whose sum is σ = 12914672400. Its totient is φ = 2094483456.

The previous prime is 5485230757. The next prime is 5485230769. The reversal of 5485230760 is 670325845.

It can be written as a sum of positive squares in 8 ways, for example, as 2471879524 + 3013351236 = 49718^2 + 54894^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5485230769) 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, 43476 + ... + 113404.

Almost surely, 25485230760 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 5485230760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457336200).

5485230760 is an abundant number, since it is smaller than the sum of its proper divisors (7429441640).

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

5485230760 is a wasteful number, since it uses less digits than its factorization.

5485230760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70030 (or 70026 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 5485230760 is about 74062.3437382318. The cubic root of 5485230760 is about 1763.5927342418.

The spelling of 5485230760 in words is "five billion, four hundred eighty-five million, two hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 53 74 106 148 185 212 265 296 370 424 530 740 1060 1480 1961 2120 3922 7844 9805 15688 19610 39220 69929 78440 139858 279716 349645 559432 699290 1398580 2587373 2797160 3706237 5174746 7412474 10349492 12936865 14824948 18531185 20698984 25873730 29649896 37062370 51747460 74124740 103494920 137130769 148249480 274261538 548523076 685653845 1097046152 1371307690 2742615380 5485230760