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648909792 = 2534793169
BaseRepresentation
bin100110101011011…
…001001111100000
31200020001000220000
4212223121033200
52312110103132
6144220220000
722036433166
oct4653311740
91606030800
10648909792
11303324593
1216139a600
13a45919bb
1462279236
153be7e87c
hex26ad93e0

648909792 has 120 divisors (see below), whose sum is σ = 1933192800. Its totient is φ = 213497856.

The previous prime is 648909761. The next prime is 648909799. The reversal of 648909792 is 297909846.

648909792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648909799) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203184 + ... + 206352.

It is an arithmetic number, because the mean of its divisors is an integer number (16109940).

Almost surely, 2648909792 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 648909792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966596400).

648909792 is an abundant number, since it is smaller than the sum of its proper divisors (1284283008).

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

648909792 is a wasteful number, since it uses less digits than its factorization.

648909792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 648909792 is about 25473.7078573183. The cubic root of 648909792 is about 865.7545364791.

Adding to 648909792 its sum of digits (54), we get a palindrome (648909846).

The spelling of 648909792 in words is "six hundred forty-eight million, nine hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2844 3169 3792 4266 5688 6338 6399 7584 8532 9507 11376 12676 12798 17064 19014 22752 25352 25596 28521 34128 38028 50704 51192 57042 68256 76056 85563 101408 102384 114084 152112 171126 204768 228168 250351 256689 304224 342252 456336 500702 513378 684504 751053 912672 1001404 1026756 1369008 1502106 2002808 2053512 2253159 2738016 3004212 4005616 4107024 4506318 6008424 6759477 8011232 8214048 9012636 12016848 13518954 18025272 20278431 24033696 27037908 36050544 40556862 54075816 72101088 81113724 108151632 162227448 216303264 324454896 648909792