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648734416 = 241117534091
BaseRepresentation
bin100110101010101…
…110011011010000
31200012201010022121
4212222232123100
52312034000131
6144212344024
722035102661
oct4652563320
91605633277
10648734416
11303214850
12161315014
13a452cc25
1462231368
153be47911
hex26aae6d0

648734416 has 80 divisors (see below), whose sum is σ = 1479601728. Its totient is φ = 272230400.

The previous prime is 648734381. The next prime is 648734483. The reversal of 648734416 is 614437846.

648734416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6487344162 = 841712685005722112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156531 + ... + 160621.

Almost surely, 2648734416 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 648734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739800864).

648734416 is an abundant number, since it is smaller than the sum of its proper divisors (830867312).

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

648734416 is a wasteful number, since it uses less digits than its factorization.

648734416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4174 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 648734416 is about 25470.2653303808. The cubic root of 648734416 is about 865.6765357823.

The spelling of 648734416 in words is "six hundred forty-eight million, seven hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 53 68 88 106 136 176 187 212 272 374 424 583 748 848 901 1166 1496 1802 2332 2992 3604 4091 4664 7208 8182 9328 9911 14416 16364 19822 32728 39644 45001 65456 69547 79288 90002 139094 158576 180004 216823 278188 360008 433646 556376 720016 765017 867292 1112752 1530034 1734584 2385053 3060068 3469168 3685991 4770106 6120136 7371982 9540212 12240272 14743964 19080424 29487928 38160848 40545901 58975856 81091802 162183604 324367208 648734416