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646989648 = 24383251647
BaseRepresentation
bin100110100100000…
…100011101010000
31200002102110221120
4212210010131100
52311112132043
6144111122240
722014215124
oct4644043520
91602373846
10646989648
11302232998
12160813380
13a406ba16
1461cd9584
153bc00983
hex26904750

646989648 has 80 divisors (see below), whose sum is σ = 1700891136. Its totient is φ = 211888000.

The previous prime is 646989647. The next prime is 646989667. The reversal of 646989648 is 846989646.

It is a junction number, because it is equal to n+sod(n) for n = 646989591 and 646989600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646989641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 999661 + ... + 1000307.

Almost surely, 2646989648 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 646989648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850445568).

646989648 is an abundant number, since it is smaller than the sum of its proper divisors (1053901488).

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

646989648 is a wasteful number, since it uses less digits than its factorization.

646989648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The square root of 646989648 is about 25435.9911935824. The cubic root of 646989648 is about 864.8997614029.

The spelling of 646989648 in words is "six hundred forty-six million, nine hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 251 332 498 502 647 664 753 996 1004 1294 1328 1506 1941 1992 2008 2588 3012 3882 3984 4016 5176 6024 7764 10352 12048 15528 20833 31056 41666 53701 62499 83332 107402 124998 161103 162397 166664 214804 249996 322206 324794 333328 429608 487191 499992 644412 649588 859216 974382 999984 1288824 1299176 1948764 2577648 2598352 3897528 7795056 13478951 26957902 40436853 53915804 80873706 107831608 161747412 215663216 323494824 646989648