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250042464 = 2534713781
BaseRepresentation
bin11101110011101…
…01100001100000
3122102111110210000
432321311201200
51003002324324
640451140000
76124216530
oct1671654140
9572443700
10250042464
11119162671
126b8a4600
133ca58b29
14252cb4c0
1516e419c9
hexee75860

250042464 has 120 divisors (see below), whose sum is σ = 840481488. Its totient is φ = 71435520.

The previous prime is 250042433. The next prime is 250042483. The reversal of 250042464 is 464240052.

250042464 is digitally balanced in base 2, 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 19 ways as a sum of consecutive naturals, for example, 11254 + ... + 25034.

Almost surely, 2250042464 is an apocalyptic number.

250042464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420240744).

250042464 is an abundant number, since it is smaller than the sum of its proper divisors (590439024).

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

250042464 is a wasteful number, since it uses less digits than its factorization.

250042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13810 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 250042464 is about 15812.7310734104. The cubic root of 250042464 is about 629.9961904532.

The spelling of 250042464 in words is "two hundred fifty million, forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 13781 18144 27562 41343 55124 82686 96467 110248 124029 165372 192934 220496 248058 289401 330744 372087 385868 440992 496116 578802 661488 744174 771736 868203 992232 1116261 1157604 1322976 1488348 1543472 1736406 1984464 2232522 2315208 2604609 2976696 3086944 3472812 3968928 4465044 4630416 5209218 5953392 6945624 7813827 8930088 9260832 10418436 11906784 13891248 15627654 17860176 20836872 27782496 31255308 35720352 41673744 62510616 83347488 125021232 250042464