Search a number
-
+
2495545344 = 216324231
BaseRepresentation
bin1001010010111111…
…0000000000000000
320102220210211122100
42110233300000000
520102324422334
61051344110400
7115561533255
oct22457600000
96386724570
102495545344
111070741176
12597905400
1330a02c966
1419961142c
15e914ac99
hex94bf0000

2495545344 has 102 divisors (see below), whose sum is σ = 7211002136. Its totient is φ = 831651840.

The previous prime is 2495545343. The next prime is 2495545357. The reversal of 2495545344 is 4435455942.

2495545344 is a `hidden beast` number, since 2 + 4 + 9 + 554 + 53 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2495545344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2495545343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 587709 + ... + 591939.

Almost surely, 22495545344 is an apocalyptic number.

2495545344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2495545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605501068).

2495545344 is an abundant number, since it is smaller than the sum of its proper divisors (4715456792).

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

2495545344 is an frugal number, since it uses more digits than its factorization.

2495545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4236 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2495545344 is about 49955.4335783406. The cubic root of 2495545344 is about 1356.4022092433.

The spelling of 2495545344 in words is "two billion, four hundred ninety-five million, five hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4231 4608 6144 8192 8462 9216 12288 12693 16384 16924 18432 24576 25386 32768 33848 36864 38079 49152 50772 65536 67696 73728 76158 98304 101544 135392 147456 152316 196608 203088 270784 294912 304632 406176 541568 589824 609264 812352 1083136 1218528 1624704 2166272 2437056 3249408 4332544 4874112 6498816 8665088 9748224 12997632 17330176 19496448 25995264 34660352 38992896 51990528 69320704 77985792 103981056 138641408 155971584 207962112 277282816 311943168 415924224 623886336 831848448 1247772672 2495545344