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45172368 = 2432232593
BaseRepresentation
bin1010110001010…
…0011010010000
310010222222211200
42230110122100
543031003433
64252111200
71055646603
oct254243220
9103888750
1045172368
112355373a
1213165500
139487c17
145ddc33a
153e74613
hex2b14690

45172368 has 90 divisors (see below), whose sum is σ = 132378246. Its totient is φ = 14378496.

The previous prime is 45172339. The next prime is 45172373. The reversal of 45172368 is 86327154.

It can be written as a sum of positive squares in only one way, i.e., 40297104 + 4875264 = 6348^2 + 2208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75880 + ... + 76472.

Almost surely, 245172368 is an apocalyptic number.

45172368 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 45172368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189123).

45172368 is an abundant number, since it is smaller than the sum of its proper divisors (87205878).

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

45172368 is a wasteful number, since it uses less digits than its factorization.

45172368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 621 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45172368 is about 6721.0392053610. The cubic root of 45172368 is about 356.1428959657.

The spelling of 45172368 in words is "forty-five million, one hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 593 828 1058 1104 1186 1587 1656 1779 2116 2372 3174 3312 3558 4232 4744 4761 5337 6348 7116 8464 9488 9522 10674 12696 13639 14232 19044 21348 25392 27278 28464 38088 40917 42696 54556 76176 81834 85392 109112 122751 163668 218224 245502 313697 327336 491004 627394 654672 941091 982008 1254788 1882182 1964016 2509576 2823273 3764364 5019152 5646546 7528728 11293092 15057456 22586184 45172368