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5142592 = 26713883
BaseRepresentation
bin10011100111100001000000
3100200021022101
4103213201000
52304030332
6302120144
761465660
oct23474100
910607271
105142592
1129a2784
121880054
1310b0970
1497c1a0
156b8ae7
hex4e7840

5142592 has 56 divisors (see below), whose sum is σ = 12574016. Its totient is φ = 2032128.

The previous prime is 5142587. The next prime is 5142623. The reversal of 5142592 is 2952415.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5142592.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5383 + ... + 6265.

It is an arithmetic number, because the mean of its divisors is an integer number (224536).

Almost surely, 25142592 is an apocalyptic number.

5142592 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 5142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287008).

5142592 is an abundant number, since it is smaller than the sum of its proper divisors (7431424).

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

5142592 is a wasteful number, since it uses less digits than its factorization.

5142592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 5142592 is about 2267.7283787967. The cubic root of 5142592 is about 172.6079083986.

The spelling of 5142592 in words is "five million, one hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 883 1456 1766 2912 3532 5824 6181 7064 11479 12362 14128 22958 24724 28256 45916 49448 56512 80353 91832 98896 160706 183664 197792 321412 367328 395584 642824 734656 1285648 2571296 5142592