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45490896 = 2434113191
BaseRepresentation
bin1010110110001…
…0001011010000
310011121011210000
42231202023100
543121202041
64303010000
71061444343
oct255421320
9104534700
1045490896
1123750a90
1213299900
139569bb9
14608245a
153ed8bb6
hex2b622d0

45490896 has 100 divisors (see below), whose sum is σ = 143678304. Its totient is φ = 13780800.

The previous prime is 45490891. The next prime is 45490897. The reversal of 45490896 is 69809454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45490891) 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 19 ways as a sum of consecutive naturals, for example, 12661 + ... + 15851.

Almost surely, 245490896 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 45490896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

45490896 is an abundant number, since it is smaller than the sum of its proper divisors (98187408).

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

45490896 is a wasteful number, since it uses less digits than its factorization.

45490896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 45490896 is about 6744.6939144783. The cubic root of 45490896 is about 356.9780369230.

The spelling of 45490896 in words is "forty-five million, four hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3191 3564 4752 6382 7128 9573 12764 14256 19146 25528 28719 35101 38292 51056 57438 70202 76584 86157 105303 114876 140404 153168 172314 210606 229752 258471 280808 315909 344628 421212 459504 516942 561616 631818 689256 842424 947727 1033884 1263636 1378512 1684848 1895454 2067768 2527272 2843181 3790908 4135536 5054544 5686362 7581816 11372724 15163632 22745448 45490896