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250493929 = 74172192
BaseRepresentation
bin11101110111000…
…11101111101001
3122110100102001221
432323203233221
51003111301204
640504542041
76131110000
oct1673435751
9573312057
10250493929
11119440884
126ba81921
133cb8647a
14253a7c37
1516ed0654
hexeee3be9

250493929 has 45 divisors (see below), whose sum is σ = 327624567. Its totient is φ = 191443392.

The previous prime is 250493927. The next prime is 250493939. The reversal of 250493929 is 929394052.

It is a happy number.

The square root of 250493929 is 15827.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 195021225 + 55472704 = 13965^2 + 7448^2 .

It is not a de Polignac number, because 250493929 - 21 = 250493927 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (250493921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13183882 + ... + 13183900.

Almost surely, 2250493929 is an apocalyptic number.

250493929 is the 15827-th square number.

250493929 is the 7914-th centered octagonal number.

It is an amenable number.

250493929 is a deficient number, since it is larger than the sum of its proper divisors (77130638).

250493929 is an frugal number, since it uses more digits than its factorization.

250493929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The cubic root of 250493929 is about 630.3751263851.

The spelling of 250493929 in words is "two hundred fifty million, four hundred ninety-three thousand, nine hundred twenty-nine".

Divisors: 1 7 17 19 49 119 133 289 323 343 361 833 931 2023 2261 2401 2527 5491 5831 6137 6517 14161 15827 17689 38437 40817 42959 45619 99127 104329 110789 123823 269059 300713 693889 730303 775523 866761 1883413 2104991 5112121 13183891 14734937 35784847 250493929