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46001328 = 243958361
BaseRepresentation
bin1010111101111…
…0110010110000
310012120002221220
42233132302300
543234020303
64321545040
71066001442
oct257366260
9105502856
1046001328
1123a6a52a
12134a5180
1396b8329
146176492
15408a053
hex2bdecb0

46001328 has 20 divisors (see below), whose sum is σ = 118836888. Its totient is φ = 15333760.

The previous prime is 46001317. The next prime is 46001363. The reversal of 46001328 is 82310064.

It is a happy number.

It is a super-2 number, since 2×460013282 = 4232244355527168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 46001298 and 46001307.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 479133 + ... + 479228.

Almost surely, 246001328 is an apocalyptic number.

46001328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46001328 is an abundant number, since it is smaller than the sum of its proper divisors (72835560).

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

46001328 is a wasteful number, since it uses less digits than its factorization.

46001328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958372 (or 958366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 46001328 is about 6782.4278838776. The cubic root of 46001328 is about 358.3082351029.

The spelling of 46001328 in words is "forty-six million, one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 958361 1916722 2875083 3833444 5750166 7666888 11500332 15333776 23000664 46001328