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46552640 = 265145477
BaseRepresentation
bin1011000110010…
…1011001000000
310020121010012212
42301211121000
543404141030
64341441252
71103455661
oct261453100
9106533185
1046552640
1124306762
1213710228
13984c254
14627b368
154148595
hex2c65640

46552640 has 28 divisors (see below), whose sum is σ = 110854236. Its totient is φ = 18620928.

The previous prime is 46552619. The next prime is 46552661. The reversal of 46552640 is 4625564.

It is an interprime number because it is at equal distance from previous prime (46552619) and next prime (46552661).

It can be written as a sum of positive squares in 2 ways, for example, as 12166144 + 34386496 = 3488^2 + 5864^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 46552597 and 46552606.

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, 72419 + ... + 73058.

Almost surely, 246552640 is an apocalyptic number.

46552640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46552640 is an abundant number, since it is smaller than the sum of its proper divisors (64301596).

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

46552640 is a wasteful number, since it uses less digits than its factorization.

46552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145494 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 46552640 is about 6822.9495088268. The cubic root of 46552640 is about 359.7339598232.

The spelling of 46552640 in words is "forty-six million, five hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 145477 290954 581908 727385 1163816 1454770 2327632 2909540 4655264 5819080 9310528 11638160 23276320 46552640