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87400253 = 2331373313
BaseRepresentation
bin1010011010110…
…01111100111101
320002110101121102
411031121330331
5134333302003
612401142445
72110614143
oct515317475
9202411542
1087400253
1145376116
122532aa25
1315151835
14b871593
157a16588
hex5359f3d

87400253 has 16 divisors (see below), whose sum is σ = 96715776. Its totient is φ = 78693120.

The previous prime is 87400231. The next prime is 87400259. The reversal of 87400253 is 35200478.

It is a happy number.

It is not a de Polignac number, because 87400253 - 212 = 87396157 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87400259) 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 15 ways as a sum of consecutive naturals, for example, 24725 + ... + 28037.

It is an arithmetic number, because the mean of its divisors is an integer number (6044736).

Almost surely, 287400253 is an apocalyptic number.

It is an amenable number.

87400253 is a deficient number, since it is larger than the sum of its proper divisors (9315523).

87400253 is a wasteful number, since it uses less digits than its factorization.

87400253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 87400253 is about 9348.8102451595. The cubic root of 87400253 is about 443.7832400413.

The spelling of 87400253 in words is "eighty-seven million, four hundred thousand, two hundred fifty-three".

Divisors: 1 23 31 37 713 851 1147 3313 26381 76199 102703 122581 2362169 2819363 3800011 87400253