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45272496 = 24317109509
BaseRepresentation
bin1010110010110…
…0110110110000
310011012002012010
42230230312300
543042204441
64254202520
71056544533
oct254546660
9104162163
1045272496
1123611995
12131b3440
1394c1679
146026a1a
153e94116
hex2b2cdb0

45272496 has 80 divisors (see below), whose sum is σ = 125215200. Its totient is φ = 14045184.

The previous prime is 45272489. The next prime is 45272527. The reversal of 45272496 is 69427254.

45272496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (120960) is a multiple of the sum of its prime divisors (640).

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 15 ways as a sum of consecutive naturals, for example, 88690 + ... + 89198.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 245272496 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 45272496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62607600).

45272496 is an abundant number, since it is smaller than the sum of its proper divisors (79942704).

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

45272496 is a wasteful number, since it uses less digits than its factorization.

45272496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 45272496 is about 6728.4839302773. The cubic root of 45272496 is about 356.4058410820.

The spelling of 45272496 in words is "forty-five million, two hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 109 136 204 218 272 327 408 436 509 654 816 872 1018 1308 1527 1744 1853 2036 2616 3054 3706 4072 5232 5559 6108 7412 8144 8653 11118 12216 14824 17306 22236 24432 25959 29648 34612 44472 51918 55481 69224 88944 103836 110962 138448 166443 207672 221924 332886 415344 443848 665772 887696 943177 1331544 1886354 2663088 2829531 3772708 5659062 7545416 11318124 15090832 22636248 45272496