Search a number
-
+
5715904 = 26314367
BaseRepresentation
bin10101110011011111000000
3101202101202011
4111303133000
52430402104
6322302304
766404305
oct25633700
911671664
105715904
113254497
121ab7994
1312518bc
14a8b0ac
1577d904
hex5737c0

5715904 has 56 divisors (see below), whose sum is σ = 12159488. Its totient is φ = 2661120.

The previous prime is 5715901. The next prime is 5715949. The reversal of 5715904 is 4095175.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85279 + ... + 85345.

Almost surely, 25715904 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 5715904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079744).

5715904 is an abundant number, since it is smaller than the sum of its proper divisors (6443584).

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

5715904 is a wasteful number, since it uses less digits than its factorization.

5715904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 5715904 is about 2390.7956834493. The cubic root of 5715904 is about 178.7975823251.

The spelling of 5715904 in words is "five million, seven hundred fifteen thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 43 62 64 67 86 124 134 172 248 268 344 496 536 688 992 1072 1333 1376 1984 2077 2144 2666 2752 2881 4154 4288 5332 5762 8308 10664 11524 16616 21328 23048 33232 42656 46096 66464 85312 89311 92192 132928 178622 184384 357244 714488 1428976 2857952 5715904