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250429440 = 214351019
BaseRepresentation
bin11101110110101…
…00000000000000
3122110020010121110
432323110000000
51003102220230
640503323320
76130420662
oct1673240000
9573203543
10250429440
111193a7388
126ba50540
133cb63001
142538c532
1516ebb4b0
hexeed4000

250429440 has 120 divisors (see below), whose sum is σ = 802136160. Its totient is φ = 66715648.

The previous prime is 250429433. The next prime is 250429483. The reversal of 250429440 is 44924052.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 250429398 and 250429407.

It is a congruent number.

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, 245251 + ... + 246269.

It is an arithmetic number, because the mean of its divisors is an integer number (6684468).

Almost surely, 2250429440 is an apocalyptic number.

250429440 is a gapful number since it is divisible by the number (20) 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 250429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401068080).

250429440 is an abundant number, since it is smaller than the sum of its proper divisors (551706720).

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

250429440 is an equidigital number, since it uses as much as digits as its factorization.

250429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 250429440 is about 15824.9625591974. The cubic root of 250429440 is about 630.3210256054.

The spelling of 250429440 in words is "two hundred fifty million, four hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1019 1024 1280 1536 1920 2038 2048 2560 3057 3072 3840 4076 4096 5095 5120 6114 6144 7680 8152 8192 10190 10240 12228 12288 15285 15360 16304 16384 20380 20480 24456 24576 30570 30720 32608 40760 40960 48912 49152 61140 61440 65216 81520 81920 97824 122280 122880 130432 163040 195648 244560 245760 260864 326080 391296 489120 521728 652160 782592 978240 1043456 1304320 1565184 1956480 2086912 2608640 3130368 3912960 4173824 5217280 6260736 7825920 8347648 10434560 12521472 15651840 16695296 20869120 25042944 31303680 41738240 50085888 62607360 83476480 125214720 250429440