Search a number
-
+
45446401 = 7111383547
BaseRepresentation
bin1010110101011…
…1010100000001
310011111220202001
42231113110001
543113241101
64302024001
71061200540
oct255272401
9104456661
1045446401
1123720610
1213278001
139552880
146070157
153eca901
hex2b57501

45446401 has 32 divisors (see below), whose sum is σ = 61867008. Its totient is φ = 32235840.

The previous prime is 45446371. The next prime is 45446407. The reversal of 45446401 is 10464454.

It is not a de Polignac number, because 45446401 - 219 = 44922113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45446401.

It is not an unprimeable number, because it can be changed into a prime (45446407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82810 + ... + 83356.

It is an arithmetic number, because the mean of its divisors is an integer number (1933344).

Almost surely, 245446401 is an apocalyptic number.

It is an amenable number.

45446401 is a deficient number, since it is larger than the sum of its proper divisors (16420607).

45446401 is a wasteful number, since it uses less digits than its factorization.

45446401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 45446401 is about 6741.3945886589. The cubic root of 45446401 is about 356.8616112889.

The spelling of 45446401 in words is "forty-five million, four hundred forty-six thousand, four hundred one".

Divisors: 1 7 11 13 77 83 91 143 547 581 913 1001 1079 3829 6017 6391 7111 7553 11869 42119 45401 49777 78221 83083 317807 499411 547547 590213 3495877 4131491 6492343 45446401