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5902416 = 2433131051
BaseRepresentation
bin10110100001000001010000
3102002212121000
4112201001100
53002334131
6330302000
7101112132
oct26410120
912085530
105902416
113371633
121b87900
1312b8770
14ad9052
157b8ce6
hex5a1050

5902416 has 80 divisors (see below), whose sum is σ = 18262720. Its totient is φ = 1814400.

The previous prime is 5902411. The next prime is 5902423. The reversal of 5902416 is 6142095.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5902416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5902411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5091 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (228284).

Almost surely, 25902416 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 5902416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131360).

5902416 is an abundant number, since it is smaller than the sum of its proper divisors (12360304).

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

5902416 is a wasteful number, since it uses less digits than its factorization.

5902416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5902416 is about 2429.4888351256. The cubic root of 5902416 is about 180.7215481809.

The spelling of 5902416 in words is "five million, nine hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1051 1404 1872 2102 2808 3153 4204 5616 6306 8408 9459 12612 13663 16816 18918 25224 27326 28377 37836 40989 50448 54652 56754 75672 81978 109304 113508 122967 151344 163956 218608 227016 245934 327912 368901 454032 491868 655824 737802 983736 1475604 1967472 2951208 5902416