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45250272 = 253383631
BaseRepresentation
bin1010110010011…
…1011011100000
310011010221201000
42230213123200
543041002042
64253512000
71056422664
oct254473340
9104127630
1045250272
11235a7221
12131a2600
1394b4512
14601c8a4
153e8c74c
hex2b276e0

45250272 has 96 divisors (see below), whose sum is σ = 133781760. Its totient is φ = 14878080.

The previous prime is 45250241. The next prime is 45250307. The reversal of 45250272 is 27205254.

45250272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 71397 + ... + 72027.

It is an arithmetic number, because the mean of its divisors is an integer number (1393560).

Almost surely, 245250272 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 45250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66890880).

45250272 is an abundant number, since it is smaller than the sum of its proper divisors (88531488).

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

45250272 is a wasteful number, since it uses less digits than its factorization.

45250272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45250272 is about 6726.8322411073. The cubic root of 45250272 is about 356.3475123648.

The spelling of 45250272 in words is "forty-five million, two hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 631 664 747 864 996 1262 1328 1494 1893 1992 2241 2524 2656 2988 3786 3984 4482 5048 5679 5976 7572 7968 8964 10096 11358 11952 15144 17037 17928 20192 22716 23904 30288 34074 35856 45432 52373 60576 68148 71712 90864 104746 136296 157119 181728 209492 272592 314238 418984 471357 545184 628476 837968 942714 1256952 1414071 1675936 1885428 2513904 2828142 3770856 5027808 5656284 7541712 11312568 15083424 22625136 45250272