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5402592 = 253313237
BaseRepresentation
bin10100100110111111100000
3101011110222000
4110212333200
52340340332
6311444000
763630666
oct24467740
911143860
105402592
113060058
121986600
131172100
14a08c36
1571ab7c
hex526fe0

5402592 has 144 divisors (see below), whose sum is σ = 17524080. Its totient is φ = 1617408.

The previous prime is 5402581. The next prime is 5402597. The reversal of 5402592 is 2952045.

5402592 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5402597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145998 + ... + 146034.

It is an arithmetic number, because the mean of its divisors is an integer number (121695).

Almost surely, 25402592 is an apocalyptic number.

5402592 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5402592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762040).

5402592 is an abundant number, since it is smaller than the sum of its proper divisors (12121488).

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

5402592 is a wasteful number, since it uses less digits than its factorization.

5402592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5402592 is about 2324.3476504172. The cubic root of 5402592 is about 175.4691303730.

The spelling of 5402592 in words is "five million, four hundred two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 72 74 78 96 104 108 111 117 144 148 156 169 208 216 222 234 288 296 312 333 338 351 416 432 444 468 481 507 592 624 666 676 702 864 888 936 962 999 1014 1184 1248 1332 1352 1404 1443 1521 1776 1872 1924 1998 2028 2664 2704 2808 2886 3042 3552 3744 3848 3996 4056 4329 4563 5328 5408 5616 5772 6084 6253 7696 7992 8112 8658 9126 10656 11232 11544 12168 12506 12987 15392 15984 16224 17316 18252 18759 23088 24336 25012 25974 31968 34632 36504 37518 46176 48672 50024 51948 56277 69264 73008 75036 100048 103896 112554 138528 146016 150072 168831 200096 207792 225108 300144 337662 415584 450216 600288 675324 900432 1350648 1800864 2701296 5402592