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253002496 = 282953643
BaseRepresentation
bin11110001010010…
…00001100000000
3122122001212011211
433011020030000
51004232034441
641034415504
76161325415
oct1705101400
9578055154
10253002496
1111a8a457a
1270891594
1340554226
142585c10c
1517328a81
hexf148300

253002496 has 72 divisors (see below), whose sum is σ = 533116080. Its totient is φ = 119648256.

The previous prime is 253002487. The next prime is 253002521. The reversal of 253002496 is 694200352.

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, 393151 + ... + 393793.

It is an arithmetic number, because the mean of its divisors is an integer number (7404390).

Almost surely, 2253002496 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 253002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266558040).

253002496 is an abundant number, since it is smaller than the sum of its proper divisors (280113584).

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

253002496 is an equidigital number, since it uses as much as digits as its factorization.

253002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 253002496 is about 15906.0521814811. The cubic root of 253002496 is about 632.4724342374.

The spelling of 253002496 in words is "two hundred fifty-three million, two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 256 424 464 643 848 928 1286 1537 1696 1856 2572 3074 3392 3712 5144 6148 6784 7424 10288 12296 13568 18647 20576 24592 34079 37294 41152 49184 68158 74588 82304 98368 136316 149176 164608 196736 272632 298352 393472 545264 596704 988291 1090528 1193408 1976582 2181056 2386816 3953164 4362112 4773632 7906328 8724224 15812656 31625312 63250624 126501248 253002496