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5158464 = 26367401
BaseRepresentation
bin10011101011011001000000
3100201002002020
4103223121000
52310032324
6302321440
761563153
oct23533100
910632066
105158464
112a036a3
121889280
1310b7c5c
14983c9a
156bd679
hex4eb640

5158464 has 56 divisors (see below), whose sum is σ = 13886688. Its totient is φ = 1689600.

The previous prime is 5158457. The next prime is 5158469. The reversal of 5158464 is 4648515.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5158469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12664 + ... + 13064.

Almost surely, 25158464 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 5158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943344).

5158464 is an abundant number, since it is smaller than the sum of its proper divisors (8728224).

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

5158464 is a wasteful number, since it uses less digits than its factorization.

5158464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 5158464 is about 2271.2252200079. The cubic root of 5158464 is about 172.7853039628.

The spelling of 5158464 in words is "five million, one hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 401 402 536 802 804 1072 1203 1604 1608 2144 2406 3208 3216 4288 4812 6416 6432 9624 12832 12864 19248 25664 26867 38496 53734 76992 80601 107468 161202 214936 322404 429872 644808 859744 1289616 1719488 2579232 5158464