Search a number
-
+
45290268 = 22326172039
BaseRepresentation
bin1010110011000…
…1001100011100
310011012222120100
42230301030130
543043242033
64254421100
71056650412
oct254611434
9104188510
1045290268
1123624281
1213201790
1394c979a
14602d2b2
153e99513
hex2b3131c

45290268 has 36 divisors (see below), whose sum is σ = 114725520. Its totient is φ = 15064896.

The previous prime is 45290251. The next prime is 45290269. The reversal of 45290268 is 86209254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 (45290269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21193 + ... + 23231.

It is an arithmetic number, because the mean of its divisors is an integer number (3186820).

Almost surely, 245290268 is an apocalyptic number.

It is an amenable number.

45290268 is an abundant number, since it is smaller than the sum of its proper divisors (69435252).

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

45290268 is a wasteful number, since it uses less digits than its factorization.

45290268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45290268 is about 6729.8044548114. The cubic root of 45290268 is about 356.4524714243.

The spelling of 45290268 in words is "forty-five million, two hundred ninety thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2039 2468 3702 4078 5553 6117 7404 8156 11106 12234 18351 22212 24468 36702 73404 1258063 2516126 3774189 5032252 7548378 11322567 15096756 22645134 45290268