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5311008 = 2535683
BaseRepresentation
bin10100010000101000100000
3100222211100000
4110100220200
52324423013
6305500000
763066663
oct24205040
910884300
105311008
112aa826a
121941600
13113c511
149c36da
156ed973
hex510a20

5311008 has 72 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1767744.

The previous prime is 5310983. The next prime is 5311027. The reversal of 5311008 is 8001135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7435 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 25311008 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 5311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

5311008 is an abundant number, since it is smaller than the sum of its proper divisors (10374480).

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

5311008 is an equidigital number, since it uses as much as digits as its factorization.

5311008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5311008 is about 2304.5624313522. The cubic root of 5311008 is about 174.4719648012.

The spelling of 5311008 in words is "five million, three hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 683 864 972 1296 1366 1944 2049 2592 2732 3888 4098 5464 6147 7776 8196 10928 12294 16392 18441 21856 24588 32784 36882 49176 55323 65568 73764 98352 110646 147528 165969 196704 221292 295056 331938 442584 590112 663876 885168 1327752 1770336 2655504 5311008