Search a number
-
+
253604096 = 2817193067
BaseRepresentation
bin11110001110110…
…11000100000000
3122200012102102022
433013123010000
51004410312341
641055341012
76166412354
oct1707330400
9580172368
10253604096
11120175569
1270b21768
1340704cc5
1425977464
15173e6e4b
hexf1db100

253604096 has 72 divisors (see below), whose sum is σ = 564389280. Its totient is φ = 113025024.

The previous prime is 253604081. The next prime is 253604107. The reversal of 253604096 is 690406352.

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, 81155 + ... + 84221.

It is an arithmetic number, because the mean of its divisors is an integer number (7838740).

Almost surely, 2253604096 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 253604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282194640).

253604096 is an abundant number, since it is smaller than the sum of its proper divisors (310785184).

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

253604096 is a wasteful number, since it uses less digits than its factorization.

253604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 253604096 is about 15924.9519936482. The cubic root of 253604096 is about 632.9733439573.

The spelling of 253604096 in words is "two hundred fifty-three million, six hundred four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 3067 4352 4864 5168 6134 10336 12268 20672 24536 41344 49072 52139 58273 82688 98144 104278 116546 196288 208556 233092 392576 417112 466184 785152 834224 932368 990641 1668448 1864736 1981282 3336896 3729472 3962564 6673792 7458944 7925128 13347584 14917888 15850256 31700512 63401024 126802048 253604096