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5378592 = 253179313
BaseRepresentation
bin10100100001001000100000
3101010021001010
4110201020200
52334103332
6311140520
763501012
oct24411040
911107033
105378592
11304401a
121974740
1311641cb
14a001b2
157139cc
hex521220

5378592 has 48 divisors (see below), whose sum is σ = 14243040. Its totient is φ = 1777152.

The previous prime is 5378587. The next prime is 5378609. The reversal of 5378592 is 2958735.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5378592.

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, 17028 + ... + 17340.

It is an arithmetic number, because the mean of its divisors is an integer number (296730).

Almost surely, 25378592 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 5378592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121520).

5378592 is an abundant number, since it is smaller than the sum of its proper divisors (8864448).

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

5378592 is a wasteful number, since it uses less digits than its factorization.

5378592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 5378592 is about 2319.1791651358. The cubic root of 5378592 is about 175.2089151236.

It can be divided in two parts, 537 and 8592, that multiplied together give a square (4613904 = 21482).

The spelling of 5378592 in words is "five million, three hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 313 358 537 626 716 939 1074 1252 1432 1878 2148 2504 2864 3756 4296 5008 5728 7512 8592 10016 15024 17184 30048 56027 112054 168081 224108 336162 448216 672324 896432 1344648 1792864 2689296 5378592