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45614320 = 2451095231
BaseRepresentation
bin1010111000000…
…0010011110000
310011211110002021
42232000103300
543134124240
64305401224
71062500233
oct256002360
9104743067
1045614320
1123825794
1213339214
1395b112b
1460b541a
15401054a
hex2b804f0

45614320 has 40 divisors (see below), whose sum is σ = 107046720. Its totient is φ = 18074880.

The previous prime is 45614273. The next prime is 45614321. The reversal of 45614320 is 2341654.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45614321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6105 + ... + 11335.

It is an arithmetic number, because the mean of its divisors is an integer number (2676168).

Almost surely, 245614320 is an apocalyptic number.

45614320 is a gapful number since it is divisible by the number (40) 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 45614320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53523360).

45614320 is an abundant number, since it is smaller than the sum of its proper divisors (61432400).

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

45614320 is a wasteful number, since it uses less digits than its factorization.

45614320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 45614320 is about 6753.8374277147. The cubic root of 45614320 is about 357.3005913541.

Adding to 45614320 its reverse (2341654), we get a palindrome (47955974).

The spelling of 45614320 in words is "forty-five million, six hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 5231 8720 10462 20924 26155 41848 52310 83696 104620 209240 418480 570179 1140358 2280716 2850895 4561432 5701790 9122864 11403580 22807160 45614320