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45293094 = 2347113631
BaseRepresentation
bin1010110011000…
…1111000100110
310011020010110000
42230301320212
543043334334
64254442130
71056661560
oct254617046
9104203400
1045293094
1123626410
1213203346
1394cab62
146030330
153e9a299
hex2b31e26

45293094 has 80 divisors (see below), whose sum is σ = 126567936. Its totient is φ = 11761200.

The previous prime is 45293081. The next prime is 45293113. The reversal of 45293094 is 49039254.

45293094 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 39 ways as a sum of consecutive naturals, for example, 10659 + ... + 14289.

Almost surely, 245293094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45293094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63283968).

45293094 is an abundant number, since it is smaller than the sum of its proper divisors (81274842).

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

45293094 is a wasteful number, since it uses less digits than its factorization.

45293094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 45293094 is about 6730.0144130603. The cubic root of 45293094 is about 356.4598851858.

The spelling of 45293094 in words is "forty-five million, two hundred ninety-three thousand, ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 3631 4158 6237 7262 10893 12474 21786 25417 32679 39941 50834 65358 76251 79882 98037 119823 152502 196074 228753 239646 279587 294111 359469 457506 559174 588222 686259 718938 838761 1078407 1372518 1677522 2058777 2156814 2516283 3235221 4117554 5032566 6470442 7548849 15097698 22646547 45293094