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90472464 = 243469809
BaseRepresentation
bin1010110010010…
…00000000010000
320022020110220000
411121020000100
5141130104324
612551050000
72146001055
oct531100020
9208213800
1090472464
1147084335
1226370900
1315989004
14c03102c
157e219c9
hex5648010

90472464 has 50 divisors (see below), whose sum is σ = 261857310. Its totient is φ = 30157056.

The previous prime is 90472463. The next prime is 90472483. The reversal of 90472464 is 46427409.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 2862864 = 9360^2 + 1692^2 .

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

It is not an unprimeable number, because it can be changed into a prime (90472463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33609 + ... + 36200.

Almost surely, 290472464 is an apocalyptic number.

It is an amenable number.

90472464 is an abundant number, since it is smaller than the sum of its proper divisors (171384846).

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

90472464 is a wasteful number, since it uses less digits than its factorization.

90472464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69829 (or 69814 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 90472464 is about 9511.7014250869. The cubic root of 90472464 is about 448.9232925013.

It can be divided in two parts, 9047 and 2464, that added together give a palindrome (11511).

The spelling of 90472464 in words is "ninety million, four hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 69809 139618 209427 279236 418854 558472 628281 837708 1116944 1256562 1675416 1884843 2513124 3350832 3769686 5026248 5654529 7539372 10052496 11309058 15078744 22618116 30157488 45236232 90472464