Search a number
-
+
2145596448 = 253151148013
BaseRepresentation
bin111111111100011…
…0011010000100000
312112112022121000010
41333320303100200
513343233041243
6552523324520
7104112161142
oct17770632040
95475277003
102145596448
11a01151406
124ba680740
13282693ac8
14164d58c92
15c8572433
hex7fe33420

2145596448 has 48 divisors (see below), whose sum is σ = 5669528256. Its totient is φ = 710457600.

The previous prime is 2145596417. The next prime is 2145596501. The reversal of 2145596448 is 8446955412.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2145596397 and 2145596406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59511 + ... + 88502.

It is an arithmetic number, because the mean of its divisors is an integer number (118115172).

Almost surely, 22145596448 is an apocalyptic number.

It is an amenable number.

2145596448 is an abundant number, since it is smaller than the sum of its proper divisors (3523931808).

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

2145596448 is a wasteful number, since it uses less digits than its factorization.

2145596448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148177 (or 148169 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 2145596448 is about 46320.5834160150. The cubic root of 2145596448 is about 1289.7811154372.

The spelling of 2145596448 in words is "two billion, one hundred forty-five million, five hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496 148013 296026 444039 592052 888078 1184104 1776156 2368208 3552312 4736416 7104624 14209248 22349963 44699926 67049889 89399852 134099778 178799704 268199556 357599408 536399112 715198816 1072798224 2145596448