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463125648 = 24320034817
BaseRepresentation
bin11011100110101…
…011110010010000
31012021110012221210
4123212223302100
51422030010043
6113542220120
714322334356
oct3346536220
91167405853
10463125648
11218471177
1210b124640
1374c4415b
14457177d6
152a9d2633
hex1b9abc90

463125648 has 40 divisors (see below), whose sum is σ = 1197253728. Its totient is φ = 154266112.

The previous prime is 463125643. The next prime is 463125653. The reversal of 463125648 is 846521364.

It is an interprime number because it is at equal distance from previous prime (463125643) and next prime (463125653).

It is not an unprimeable number, because it can be changed into a prime (463125643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93736 + ... + 98552.

Almost surely, 2463125648 is an apocalyptic number.

463125648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463125648 is an abundant number, since it is smaller than the sum of its proper divisors (734128080).

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

463125648 is a wasteful number, since it uses less digits than its factorization.

463125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6825 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 463125648 is about 21520.3542721768. The cubic root of 463125648 is about 773.6887423698.

The spelling of 463125648 in words is "four hundred sixty-three million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 2003 4006 4817 6009 8012 9634 12018 14451 16024 19268 24036 28902 32048 38536 48072 57804 77072 96144 115608 231216 9648451 19296902 28945353 38593804 57890706 77187608 115781412 154375216 231562824 463125648