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46813428 = 22322335581
BaseRepresentation
bin1011001010010…
…1000011110100
310021002100221200
42302211003310
543441012203
64351212500
71105623204
oct262450364
9107070850
1046813428
1124474692
1213817130
139910b6c
146308404
15419a9a3
hex2ca50f4

46813428 has 36 divisors (see below), whose sum is σ = 118863108. Its totient is φ = 15534720.

The previous prime is 46813421. The next prime is 46813439. The reversal of 46813428 is 82431864.

It can be written as a sum of positive squares in 2 ways, for example, as 12027024 + 34786404 = 3468^2 + 5898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×468134282 = 4382994082222368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46813392 and 46813401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46813421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5598 + ... + 11178.

It is an arithmetic number, because the mean of its divisors is an integer number (3301753).

Almost surely, 246813428 is an apocalyptic number.

It is an amenable number.

46813428 is an abundant number, since it is smaller than the sum of its proper divisors (72049680).

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

46813428 is a wasteful number, since it uses less digits than its factorization.

46813428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5819 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 46813428 is about 6842.0339081300. The cubic root of 46813428 is about 360.4044528425.

The spelling of 46813428 in words is "forty-six million, eight hundred thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 5581 8388 11162 16743 22324 33486 50229 66972 100458 200916 1300373 2600746 3901119 5201492 7802238 11703357 15604476 23406714 46813428