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1648834848 = 253237154733
BaseRepresentation
bin110001001000111…
…0011100100100000
311020220120111012100
41202101303210200
511334100203343
6431340130400
755600602453
oct14221634440
94226514170
101648834848
117767a7031
123a0236a00
132037a3a2b
14118da749a
1599b489d3
hex62473920

1648834848 has 72 divisors (see below), whose sum is σ = 4815631548. Its totient is φ = 534753792.

The previous prime is 1648834807. The next prime is 1648834849. The reversal of 1648834848 is 8484388461.

It can be written as a sum of positive squares in 2 ways, for example, as 1588181904 + 60652944 = 39852^2 + 7788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1648834794 and 1648834803.

It is not an unprimeable number, because it can be changed into a prime (1648834849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66711 + ... + 88022.

Almost surely, 21648834848 is an apocalyptic number.

1648834848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1648834848 is an abundant number, since it is smaller than the sum of its proper divisors (3166796700).

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

1648834848 is a wasteful number, since it uses less digits than its factorization.

1648834848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154786 (or 154775 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 1648834848 is about 40605.8474606798. The cubic root of 1648834848 is about 1181.3875394733.

The spelling of 1648834848 in words is "one billion, six hundred forty-eight million, eight hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 154733 309466 464199 618932 928398 1237864 1392597 1856796 2475728 2785194 3713592 4951456 5570388 5725121 7427184 11140776 11450242 14854368 17175363 22281552 22900484 34350726 44563104 45800968 51526089 68701452 91601936 103052178 137402904 183203872 206104356 274805808 412208712 549611616 824417424 1648834848