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5407392 = 253233179
BaseRepresentation
bin10100101000001010100000
3101011201112210
4110220022200
52341014032
6311522120
763650664
oct24501240
911151483
105407392
113063721
121989340
131174353
14a0a8a4
1571c2cc
hex5282a0

5407392 has 96 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1647360.

The previous prime is 5407387. The next prime is 5407399. The reversal of 5407392 is 2937045.

5407392 is digitally balanced in base 5, 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 (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5407399) 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, 68409 + ... + 68487.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 25407392 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 5407392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

5407392 is an abundant number, since it is smaller than the sum of its proper divisors (10075488).

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

5407392 is a wasteful number, since it uses less digits than its factorization.

5407392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 5407392 is about 2325.3799689513. The cubic root of 5407392 is about 175.5210809004.

The spelling of 5407392 in words is "five million, four hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 79 92 93 96 124 138 158 184 186 237 248 276 316 368 372 474 496 552 632 713 736 744 948 992 1104 1264 1426 1488 1817 1896 2139 2208 2449 2528 2852 2976 3634 3792 4278 4898 5451 5704 7268 7347 7584 8556 9796 10902 11408 14536 14694 17112 19592 21804 22816 29072 29388 34224 39184 43608 56327 58144 58776 68448 78368 87216 112654 117552 168981 174432 225308 235104 337962 450616 675924 901232 1351848 1802464 2703696 5407392