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45354336 = 2534310987
BaseRepresentation
bin1010110100000…
…0110101100000
310011100020110020
42231000311200
543102314321
64300033440
71060335246
oct255006540
9104306406
1045354336
1123668425
1213232880
13951c9b1
146048796
153ead4c6
hex2b40d60

45354336 has 48 divisors (see below), whose sum is σ = 121834944. Its totient is φ = 14765184.

The previous prime is 45354329. The next prime is 45354359. The reversal of 45354336 is 63345354.

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

It is a junction number, because it is equal to n+sod(n) for n = 45354297 and 45354306.

It is a congruent number.

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, 1366 + ... + 9621.

It is an arithmetic number, because the mean of its divisors is an integer number (2538228).

Almost surely, 245354336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60917472).

45354336 is an abundant number, since it is smaller than the sum of its proper divisors (76480608).

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

45354336 is a wasteful number, since it uses less digits than its factorization.

45354336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11035 counting only the distinct ones).

The product of its digits is 64800, while the sum is 33.

The square root of 45354336 is about 6734.5627920452. The cubic root of 45354336 is about 356.6204724677.

The spelling of 45354336 in words is "forty-five million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 10987 21974 32961 43948 65922 87896 131844 175792 263688 351584 472441 527376 944882 1054752 1417323 1889764 2834646 3779528 5669292 7559056 11338584 15118112 22677168 45354336