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45494208 = 2632194157
BaseRepresentation
bin1010110110001…
…0111111000000
310011121100022200
42231202333000
543121303313
64303033200
71061460114
oct255427700
9104540280
1045494208
1123753521
121329b800
13956b566
146083744
153ed9b73
hex2b62fc0

45494208 has 84 divisors (see below), whose sum is σ = 137297160. Its totient is φ = 14363136.

The previous prime is 45494191. The next prime is 45494221. The reversal of 45494208 is 80249454.

45494208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8866 + ... + 13022.

It is an arithmetic number, because the mean of its divisors is an integer number (1634490).

Almost surely, 245494208 is an apocalyptic number.

45494208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68648580).

45494208 is an abundant number, since it is smaller than the sum of its proper divisors (91802952).

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

45494208 is a wasteful number, since it uses less digits than its factorization.

45494208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45494208 is about 6744.9394363478. The cubic root of 45494208 is about 356.9867000671.

The spelling of 45494208 in words is "forty-five million, four hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 4157 5472 8314 10944 12471 16628 24942 33256 37413 49884 66512 74826 78983 99768 133024 149652 157966 199536 236949 266048 299304 315932 399072 473898 598608 631864 710847 798144 947796 1197216 1263728 1421694 1895592 2394432 2527456 2843388 3791184 5054912 5686776 7582368 11373552 15164736 22747104 45494208