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45613792 = 257269757
BaseRepresentation
bin1010111000000…
…0001011100000
310011211102100201
42232000023200
543134120132
64305354544
71062465550
oct256001340
9104742321
1045613792
1123825354
1213338a54
1395b0b13
1460b5160
1540102e7
hex2b802e0

45613792 has 48 divisors (see below), whose sum is σ = 103148640. Its totient is φ = 19450368.

The previous prime is 45613727. The next prime is 45613793. The reversal of 45613792 is 29731654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45613793) 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, 59878 + ... + 60634.

It is an arithmetic number, because the mean of its divisors is an integer number (2148930).

Almost surely, 245613792 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 45613792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51574320).

45613792 is an abundant number, since it is smaller than the sum of its proper divisors (57534848).

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

45613792 is a wasteful number, since it uses less digits than its factorization.

45613792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 45613792 is about 6753.7983387128. The cubic root of 45613792 is about 357.2992127268.

The spelling of 45613792 in words is "forty-five million, six hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 269 538 757 1076 1514 1883 2152 3028 3766 4304 5299 6056 7532 8608 10598 12112 15064 21196 24224 30128 42392 60256 84784 169568 203633 407266 814532 1425431 1629064 2850862 3258128 5701724 6516256 11403448 22806896 45613792