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649231296 = 2637617919
BaseRepresentation
bin100110101100100…
…111101111000000
31200020122100220120
4212230213233000
52312200400141
6144231140240
722042242420
oct4654475700
91606570816
10649231296
1130352409a
12161514680
13a467513c
1462320480
153bee4c66
hex26b27bc0

649231296 has 112 divisors (see below), whose sum is σ = 1995586560. Its totient is φ = 182430720.

The previous prime is 649231283. The next prime is 649231301. The reversal of 649231296 is 692132946.

649231296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 78025 + ... + 85943.

Almost surely, 2649231296 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 649231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997793280).

649231296 is an abundant number, since it is smaller than the sum of its proper divisors (1346355264).

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

649231296 is a wasteful number, since it uses less digits than its factorization.

649231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7992 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 649231296 is about 25480.0175824115. The cubic root of 649231296 is about 865.8974929650.

The spelling of 649231296 in words is "six hundred forty-nine million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6832 7919 10248 11712 13664 15838 20496 23757 27328 31676 40992 47514 55433 63352 81984 95028 110866 126704 166299 190056 221732 253408 332598 380112 443464 483059 506816 665196 760224 886928 966118 1330392 1449177 1520448 1773856 1932236 2660784 2898354 3381413 3547712 3864472 5321568 5796708 6762826 7728944 10144239 10643136 11593416 13525652 15457888 20288478 23186832 27051304 30915776 40576956 46373664 54102608 81153912 92747328 108205216 162307824 216410432 324615648 649231296