Search a number
-
+
5402816 = 26294171
BaseRepresentation
bin10100100111000011000000
3101011111021022
4110213003000
52340342231
6311445012
763631436
oct24470300
911144238
105402816
113060241
121986768
131172243
14a08d56
1571ac7b
hex5270c0

5402816 has 56 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 2508800.

The previous prime is 5402759. The next prime is 5402819. The reversal of 5402816 is 6182045.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5402819) 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, 76061 + ... + 76131.

It is an arithmetic number, because the mean of its divisors is an integer number (205740).

Almost surely, 25402816 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 5402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

5402816 is an abundant number, since it is smaller than the sum of its proper divisors (6118624).

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

5402816 is a wasteful number, since it uses less digits than its factorization.

5402816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5402816 is about 2324.3958354807. The cubic root of 5402816 is about 175.4715554152.

The spelling of 5402816 in words is "five million, four hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 32 41 58 64 71 82 116 142 164 232 284 328 464 568 656 928 1136 1189 1312 1856 2059 2272 2378 2624 2911 4118 4544 4756 5822 8236 9512 11644 16472 19024 23288 32944 38048 46576 65888 76096 84419 93152 131776 168838 186304 337676 675352 1350704 2701408 5402816