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648824448 = 2731799391
BaseRepresentation
bin100110101011000…
…100011010000000
31200012212200211010
4212223010122000
52312044340243
6144214320520
722035626316
oct4653043200
91605780733
10648824448
11303276458
12161359140
13a4561bbc
14622560b6
153be64433
hex26ac4680

648824448 has 64 divisors (see below), whose sum is σ = 1824837120. Its totient is φ = 203550720.

The previous prime is 648824413. The next prime is 648824461. The reversal of 648824448 is 844428846.

It is a tau number, because it is divible by the number of its divisors (64).

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

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 = 648824397 and 648824406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43168 + ... + 56223.

It is an arithmetic number, because the mean of its divisors is an integer number (28513080).

Almost surely, 2648824448 is an apocalyptic number.

648824448 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

648824448 is an abundant number, since it is smaller than the sum of its proper divisors (1176012672).

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

648824448 is a wasteful number, since it uses less digits than its factorization.

648824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99425 (or 99413 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 48.

The square root of 648824448 is about 25472.0326632956. The cubic root of 648824448 is about 865.7165804101.

The spelling of 648824448 in words is "six hundred forty-eight million, eight hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 99391 198782 298173 397564 596346 795128 1192692 1590256 1689647 2385384 3180512 3379294 4770768 5068941 6361024 6758588 9541536 10137882 12722048 13517176 19083072 20275764 27034352 38166144 40551528 54068704 81103056 108137408 162206112 216274816 324412224 648824448