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46468128 = 253769149
BaseRepresentation
bin1011000101000…
…0110000100000
310020102211021210
42301100300200
543343440003
64335550120
71102654410
oct261206040
9106384253
1046468128
1124259213
121368b340
13981c945
146258640
15412d503
hex2c50c20

46468128 has 48 divisors (see below), whose sum is σ = 139406400. Its totient is φ = 13276416.

The previous prime is 46468111. The next prime is 46468139. The reversal of 46468128 is 82186464.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33903 + ... + 35246.

It is an arithmetic number, because the mean of its divisors is an integer number (2904300).

Almost surely, 246468128 is an apocalyptic number.

46468128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46468128 is an abundant number, since it is smaller than the sum of its proper divisors (92938272).

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

46468128 is a wasteful number, since it uses less digits than its factorization.

46468128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69169 (or 69161 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 46468128 is about 6816.7534794798. The cubic root of 46468128 is about 359.5161400803.

The spelling of 46468128 in words is "forty-six million, four hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 69149 138298 207447 276596 414894 484043 553192 829788 968086 1106384 1452129 1659576 1936172 2212768 2904258 3319152 3872344 5808516 6638304 7744688 11617032 15489376 23234064 46468128