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45354216 = 23319791259
BaseRepresentation
bin1010110100000…
…0110011101000
310011100020021210
42231000303220
543102313331
64300033120
71060335015
oct255006350
9104306253
1045354216
1123668326
12132327a0
13951c91b
14604870c
153ead446
hex2b40ce8

45354216 has 64 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 14129856.

The previous prime is 45354203. The next prime is 45354217. The reversal of 45354216 is 61245354.

It is not an unprimeable number, because it can be changed into a prime (45354217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35395 + ... + 36653.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 245354216 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 45354216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

45354216 is an abundant number, since it is smaller than the sum of its proper divisors (75605784).

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

45354216 is a wasteful number, since it uses less digits than its factorization.

45354216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 45354216 is about 6734.5538827750. The cubic root of 45354216 is about 356.6201579480.

The spelling of 45354216 in words is "forty-five million, three hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 158 228 237 316 456 474 632 948 1259 1501 1896 2518 3002 3777 4503 5036 6004 7554 9006 10072 12008 15108 18012 23921 30216 36024 47842 71763 95684 99461 143526 191368 198922 287052 298383 397844 574104 596766 795688 1193532 1889759 2387064 3779518 5669277 7559036 11338554 15118072 22677108 45354216