Search a number
-
+
45424992 = 253617757
BaseRepresentation
bin1010110101001…
…0000101100000
310011110211101010
42231102011200
543112044432
64301340520
71061051244
oct255220540
9104424333
1045424992
1123706518
1213267740
139545bc2
146066424
153ec43cc
hex2b52160

45424992 has 48 divisors (see below), whose sum is σ = 121210992. Its totient is φ = 14891520.

The previous prime is 45424963. The next prime is 45424993. The reversal of 45424992 is 29942454.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45424992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45424993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1978 + ... + 9734.

It is an arithmetic number, because the mean of its divisors is an integer number (2525229).

Almost surely, 245424992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45424992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60605496).

45424992 is an abundant number, since it is smaller than the sum of its proper divisors (75786000).

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

45424992 is a wasteful number, since it uses less digits than its factorization.

45424992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7823 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 45424992 is about 6739.8065254130. The cubic root of 45424992 is about 356.8055654115.

The spelling of 45424992 in words is "forty-five million, four hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 7757 15514 23271 31028 46542 62056 93084 124112 186168 248224 372336 473177 744672 946354 1419531 1892708 2839062 3785416 5678124 7570832 11356248 15141664 22712496 45424992