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5705952 = 253721213
BaseRepresentation
bin10101110001000011100000
3101201220002120
4111301003200
52430042302
6322144240
766333300
oct25610340
911656076
105705952
113247a6a
121ab2080
13124a205
14a87600
1577a9bc
hex5710e0

5705952 has 72 divisors (see below), whose sum is σ = 17437896. Its totient is φ = 1628928.

The previous prime is 5705939. The next prime is 5705957. The reversal of 5705952 is 2595075.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4098 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (242193).

Almost surely, 25705952 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 5705952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718948).

5705952 is an abundant number, since it is smaller than the sum of its proper divisors (11731944).

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

5705952 is a wasteful number, since it uses less digits than its factorization.

5705952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 5705952 is about 2388.7134612590. The cubic root of 5705952 is about 178.6937534735.

The spelling of 5705952 in words is "five million, seven hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1213 1568 2352 2426 3639 4704 4852 7278 8491 9704 14556 16982 19408 25473 29112 33964 38816 50946 58224 59437 67928 101892 116448 118874 135856 178311 203784 237748 271712 356622 407568 475496 713244 815136 950992 1426488 1901984 2852976 5705952