Search a number
-
+
45456348 = 22371274261
BaseRepresentation
bin1010110101100…
…1101111011100
310011112102101110
42231121233130
543114100343
64302142020
71061241540
oct255315734
9104472343
1045456348
1123728033
1213281910
139557262
146073a20
153ecd833
hex2b59bdc

45456348 has 48 divisors (see below), whose sum is σ = 122200064. Its totient is φ = 12882240.

The previous prime is 45456347. The next prime is 45456377. The reversal of 45456348 is 84365454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45456343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8538 + ... + 12798.

Almost surely, 245456348 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 45456348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61100032).

45456348 is an abundant number, since it is smaller than the sum of its proper divisors (76743716).

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

45456348 is a wasteful number, since it uses less digits than its factorization.

45456348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4400 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 45456348 is about 6742.1323036559. The cubic root of 45456348 is about 356.8876452059.

The spelling of 45456348 in words is "forty-five million, four hundred fifty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 4261 5334 8522 10668 12783 17044 25566 29827 51132 59654 89481 119308 178962 357924 541147 1082294 1623441 2164588 3246882 3788029 6493764 7576058 11364087 15152116 22728174 45456348