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45166380 = 22357313469
BaseRepresentation
bin1010110001001…
…0111100101100
310010222200121220
42230102330230
543030311010
64252023340
71055623260
oct254227454
9103880556
1045166380
112354a196
1213161b50
13948528c
145dda0a0
153e72970
hex2b12f2c

45166380 has 96 divisors (see below), whose sum is σ = 149237760. Its totient is φ = 9987840.

The previous prime is 45166367. The next prime is 45166393. The reversal of 45166380 is 8366154.

45166380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45166367) and next prime (45166393).

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 31 ways as a sum of consecutive naturals, for example, 11286 + ... + 14754.

It is an arithmetic number, because the mean of its divisors is an integer number (1554560).

Almost surely, 245166380 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 45166380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74618880).

45166380 is an abundant number, since it is smaller than the sum of its proper divisors (104071380).

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

45166380 is a wasteful number, since it uses less digits than its factorization.

45166380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45166380 is about 6720.5937237717. The cubic root of 45166380 is about 356.1271586319.

The spelling of 45166380 in words is "forty-five million, one hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 3469 4340 6510 6938 10407 13020 13876 17345 20814 24283 34690 41628 48566 52035 69380 72849 97132 104070 107539 121415 145698 208140 215078 242830 291396 322617 364245 430156 485660 537695 645234 728490 752773 1075390 1290468 1456980 1505546 1613085 2150780 2258319 3011092 3226170 3763865 4516638 6452340 7527730 9033276 11291595 15055460 22583190 45166380