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5430456 = 233331811
BaseRepresentation
bin10100101101110010111000
3101012220012000
4110231302320
52342233311
6312221000
764105143
oct24556270
911186160
105430456
113079a89
12199a760
1311819b5
14a1505a
15724056
hex52dcb8

5430456 has 64 divisors (see below), whose sum is σ = 15590400. Its totient is φ = 1749600.

The previous prime is 5430449. The next prime is 5430493. The reversal of 5430456 is 6540345.

5430456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6291 + ... + 7101.

It is an arithmetic number, because the mean of its divisors is an integer number (243600).

Almost surely, 25430456 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 5430456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795200).

5430456 is an abundant number, since it is smaller than the sum of its proper divisors (10159944).

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

5430456 is a wasteful number, since it uses less digits than its factorization.

5430456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5430456 is about 2330.3338816573. Note that the first 3 decimals coincide. The cubic root of 5430456 is about 175.7702753504.

It can be divided in two parts, 5430 and 456, that added together give a triangular number (5886 = T108).

The spelling of 5430456 in words is "five million, four hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 811 837 1116 1622 1674 2232 2433 3244 3348 4866 6488 6696 7299 9732 14598 19464 21897 25141 29196 43794 50282 58392 75423 87588 100564 150846 175176 201128 226269 301692 452538 603384 678807 905076 1357614 1810152 2715228 5430456