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46681344 = 283220261
BaseRepresentation
bin1011001000010…
…0110100000000
310020211122202200
42302010310000
543422300334
64344313200
71104533133
oct262046400
9106748680
1046681344
1124394426
1213772800
1398959c8
1462b221a
154171799
hex2c84d00

46681344 has 54 divisors (see below), whose sum is σ = 134600466. Its totient is φ = 15559680.

The previous prime is 46681333. The next prime is 46681361. The reversal of 46681344 is 44318664.

It can be written as a sum of positive squares in only one way, i.e., 25887744 + 20793600 = 5088^2 + 4560^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 46681299 and 46681308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7827 + ... + 12434.

Almost surely, 246681344 is an apocalyptic number.

It is an amenable number.

46681344 is an abundant number, since it is smaller than the sum of its proper divisors (87919122).

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

46681344 is a wasteful number, since it uses less digits than its factorization.

46681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20283 (or 20266 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 46681344 is about 6832.3746969849. The cubic root of 46681344 is about 360.0651733857.

It can be divided in two parts, 466 and 81344, that added together give a triangular number (81810 = T404).

The spelling of 46681344 in words is "forty-six million, six hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 20261 40522 60783 81044 121566 162088 182349 243132 324176 364698 486264 648352 729396 972528 1296704 1458792 1945056 2593408 2917584 3890112 5186816 5835168 7780224 11670336 15560448 23340672 46681344