Search a number
-
+
48026664 = 23327213613
BaseRepresentation
bin1011011100110…
…1010000101000
310100101000012100
42313031100220
544243323124
64433213400
71122135300
oct267152050
9110330170
1048026664
1125123164
1214101260
139c4715a
146542600
15433a1c9
hex2dcd428

48026664 has 72 divisors (see below), whose sum is σ = 151319610. Its totient is φ = 13720896.

The previous prime is 48026653. The next prime is 48026669. The reversal of 48026664 is 46662084.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 1764 = 6930^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (48026669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3279 + ... + 10334.

Almost surely, 248026664 is an apocalyptic number.

It is an amenable number.

48026664 is an abundant number, since it is smaller than the sum of its proper divisors (103292946).

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

48026664 is a wasteful number, since it uses less digits than its factorization.

48026664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13639 (or 13625 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48026664 is about 6930.1272715586. The cubic root of 48026664 is about 363.4914001423.

The spelling of 48026664 in words is "forty-eight million, twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 13613 27226 40839 54452 81678 95291 108904 122517 163356 190582 245034 285873 326712 381164 490068 571746 667037 762328 857619 980136 1143492 1334074 1715238 2001111 2286984 2668148 3430476 4002222 5336296 6003333 6860952 8004444 12006666 16008888 24013332 48026664