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45412272 = 2433313391
BaseRepresentation
bin1010110100111…
…0111110110000
310011110011221000
42231032332300
543111143042
64301202000
71060666203
oct255167660
9104404830
1045412272
11236a7a04
1213260300
139540189
14606193a
153ec074c
hex2b4efb0

45412272 has 80 divisors (see below), whose sum is σ = 134594560. Its totient is φ = 14644800.

The previous prime is 45412271. The next prime is 45412277. The reversal of 45412272 is 27221454.

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

It is not an unprimeable number, because it can be changed into a prime (45412271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11697 + ... + 15087.

It is an arithmetic number, because the mean of its divisors is an integer number (1682432).

Almost surely, 245412272 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 45412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67297280).

45412272 is an abundant number, since it is smaller than the sum of its proper divisors (89182288).

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

45412272 is a wasteful number, since it uses less digits than its factorization.

45412272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3427 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 45412272 is about 6738.8628120774. The cubic root of 45412272 is about 356.7722578255.

The spelling of 45412272 in words is "forty-five million, four hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 3391 4464 6696 6782 10173 13392 13564 20346 27128 30519 40692 54256 61038 81384 91557 105121 122076 162768 183114 210242 244152 315363 366228 420484 488304 630726 732456 840968 946089 1261452 1464912 1681936 1892178 2522904 2838267 3784356 5045808 5676534 7568712 11353068 15137424 22706136 45412272