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46982640 = 2435195761
BaseRepresentation
bin1011001100111…
…0010111110000
310021101222001210
42303032113300
544011421030
64355000120
71110226425
oct263162760
9107358053
1046982640
112457a831
1213899040
13996cba3
14634dd4c
1541d0bb0
hex2cce5f0

46982640 has 40 divisors (see below), whose sum is σ = 145646928. Its totient is φ = 12528640.

The previous prime is 46982623. The next prime is 46982641. The reversal of 46982640 is 4628964.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×469826402 = 4414736922739200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46982641) 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, 97641 + ... + 98120.

Almost surely, 246982640 is an apocalyptic number.

46982640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46982640 is an abundant number, since it is smaller than the sum of its proper divisors (98664288).

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

46982640 is a wasteful number, since it uses less digits than its factorization.

46982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195777 (or 195771 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 46982640 is about 6854.3883753403. The cubic root of 46982640 is about 360.8381704708.

The spelling of 46982640 in words is "forty-six million, nine hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 195761 391522 587283 783044 978805 1174566 1566088 1957610 2349132 2936415 3132176 3915220 4698264 5872830 7830440 9396528 11745660 15660880 23491320 46982640