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46361328 = 2431374297
BaseRepresentation
bin1011000011011…
…0101011110000
310020020101210020
42300312223300
543332030303
64333403440
71102031136
oct260665360
9106211706
1046361328
1124195a52
1213639580
1397b3150
14622b756
15410ba53
hex2c36af0

46361328 has 40 divisors (see below), whose sum is σ = 128981328. Its totient is φ = 14264832.

The previous prime is 46361327. The next prime is 46361339. The reversal of 46361328 is 82316364.

46361328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46361327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36525 + ... + 37772.

Almost surely, 246361328 is an apocalyptic number.

46361328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46361328 is an abundant number, since it is smaller than the sum of its proper divisors (82620000).

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

46361328 is a wasteful number, since it uses less digits than its factorization.

46361328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74321 (or 74315 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 46361328 is about 6808.9153321216. The cubic root of 46361328 is about 359.2404975479.

The spelling of 46361328 in words is "forty-six million, three hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 74297 148594 222891 297188 445782 594376 891564 965861 1188752 1783128 1931722 2897583 3566256 3863444 5795166 7726888 11590332 15453776 23180664 46361328