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649090848 = 25372433209
BaseRepresentation
bin100110101100000…
…101011100100000
31200020101020020210
4212230011130200
52312131401343
6144224134120
722041116100
oct4654053440
91606336223
10649090848
1130343861a
12161467340
13a4626233
14622c5200
153beb8333
hex26b05720

649090848 has 144 divisors (see below), whose sum is σ = 2028771360. Its totient is φ = 181085184.

The previous prime is 649090831. The next prime is 649090861. The reversal of 649090848 is 848090946.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 649090797 and 649090806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200668 + ... + 203876.

It is an arithmetic number, because the mean of its divisors is an integer number (14088690).

Almost surely, 2649090848 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 649090848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014385680).

649090848 is an abundant number, since it is smaller than the sum of its proper divisors (1379680512).

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

649090848 is a wasteful number, since it uses less digits than its factorization.

649090848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 649090848 is about 25477.2613912877. The cubic root of 649090848 is about 865.8350486854.

The spelling of 649090848 in words is "six hundred forty-nine million, ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 344 392 516 588 602 672 688 784 903 1032 1176 1204 1376 1568 1806 2064 2107 2352 2408 3209 3612 4128 4214 4704 4816 6321 6418 7224 8428 9627 9632 12642 12836 14448 16856 19254 22463 25284 25672 28896 33712 38508 44926 50568 51344 67389 67424 77016 89852 101136 102688 134778 137987 154032 157241 179704 202272 269556 275974 308064 314482 359408 413961 471723 539112 551948 628964 718816 827922 943446 965909 1078224 1103896 1257928 1655844 1886892 1931818 2156448 2207792 2515856 2897727 3311688 3773784 3863636 4415584 5031712 5795454 6623376 6761363 7547568 7727272 11590908 13246752 13522726 15095136 15454544 20284089 23181816 27045452 30909088 40568178 46363632 54090904 81136356 92727264 108181808 162272712 216363616 324545424 649090848