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5402784 = 253167337
BaseRepresentation
bin10100100111000010100000
3101011111020010
4110213002200
52340342114
6311444520
763631362
oct24470240
911144203
105402784
113060212
121986740
13117221a
14a08d32
1571ac59
hex5270a0

5402784 has 48 divisors (see below), whose sum is σ = 14309568. Its totient is φ = 1784832.

The previous prime is 5402759. The next prime is 5402819. The reversal of 5402784 is 4872045.

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

It is a congruent number.

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, 15864 + ... + 16200.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 25402784 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 5402784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784).

5402784 is an abundant number, since it is smaller than the sum of its proper divisors (8906784).

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

5402784 is a wasteful number, since it uses less digits than its factorization.

5402784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5402784 is about 2324.3889519614. The cubic root of 5402784 is about 175.4712089847.

The spelling of 5402784 in words is "five million, four hundred two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 337 501 668 674 1002 1011 1336 1348 2004 2022 2672 2696 4008 4044 5344 5392 8016 8088 10784 16032 16176 32352 56279 112558 168837 225116 337674 450232 675348 900464 1350696 1800928 2701392 5402784