Search a number
-
+
45138496 = 2613227239
BaseRepresentation
bin1010110000110…
…0001001000000
310010221021101011
42230030021000
543023412441
64251250304
71055446054
oct254141100
9103837334
1045138496
1123530247
1213149994
139475690
145dcdc64
153e69581
hex2b0c240

45138496 has 56 divisors (see below), whose sum is σ = 97292160. Its totient is φ = 20654592.

The previous prime is 45138493. The next prime is 45138497. The reversal of 45138496 is 69483154.

It is a super-2 number, since 2×451384962 = 4074967642284032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45138493) 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, 188745 + ... + 188983.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 245138496 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 45138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080).

45138496 is an abundant number, since it is smaller than the sum of its proper divisors (52153664).

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

45138496 is a wasteful number, since it uses less digits than its factorization.

45138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 45138496 is about 6718.5188843971. The cubic root of 45138496 is about 356.0538571046.

The spelling of 45138496 in words is "forty-five million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 227 239 416 454 478 832 908 956 1816 1912 2951 3107 3632 3824 5902 6214 7264 7648 11804 12428 14528 15296 23608 24856 47216 49712 54253 94432 99424 108506 188864 198848 217012 434024 705289 868048 1410578 1736096 2821156 3472192 5642312 11284624 22569248 45138496