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253229904 = 24321758541
BaseRepresentation
bin11110001011111…
…11101101010000
3122122111102010100
433011333231100
51004311324104
641043332400
76163263414
oct1705775520
9578442110
10253229904
1111aa3a414
1270981100
13406038a5
14258bad44
1517371139
hexf17fb50

253229904 has 30 divisors (see below), whose sum is σ = 708692426. Its totient is φ = 84409920.

The previous prime is 253229903. The next prime is 253229923. The reversal of 253229904 is 409922352.

It can be written as a sum of positive squares in only one way, i.e., 252810000 + 419904 = 15900^2 + 648^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253229903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879127 + ... + 879414.

Almost surely, 2253229904 is an apocalyptic number.

253229904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253229904 is an abundant number, since it is smaller than the sum of its proper divisors (455462522).

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

253229904 is a wasteful number, since it uses less digits than its factorization.

253229904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758555 (or 1758546 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253229904 is about 15913.1990498454. The cubic root of 253229904 is about 632.6618740283.

The spelling of 253229904 in words is "two hundred fifty-three million, two hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1758541 3517082 5275623 7034164 10551246 14068328 15826869 21102492 28136656 31653738 42204984 63307476 84409968 126614952 253229904