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45555272 = 23723113313
BaseRepresentation
bin1010110111000…
…1111001001000
310011201110002022
42231301321020
543130232042
64304224012
71062133130
oct255617110
9104643068
1045555272
1123795394
121330b008
1395902a9
14609bac0
153eeccd2
hex2b71e48

45555272 has 64 divisors (see below), whose sum is σ = 103092480. Its totient is φ = 18450432.

The previous prime is 45555269. The next prime is 45555283. The reversal of 45555272 is 27255554.

45555272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×455552723 (a number of 24 digits) contains 333 as substring.

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, 145388 + ... + 145700.

It is an arithmetic number, because the mean of its divisors is an integer number (1610820).

Almost surely, 245555272 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 45555272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51546240).

45555272 is an abundant number, since it is smaller than the sum of its proper divisors (57537208).

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

45555272 is a wasteful number, since it uses less digits than its factorization.

45555272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its digits is 70000, while the sum is 35.

The square root of 45555272 is about 6749.4645713568. The cubic root of 45555272 is about 357.1463488878.

The spelling of 45555272 in words is "forty-five million, five hundred fifty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 113 161 184 226 313 322 452 626 644 791 904 1252 1288 1582 2191 2504 2599 3164 4382 5198 6328 7199 8764 10396 14398 17528 18193 20792 28796 35369 36386 50393 57592 70738 72772 100786 141476 145544 201572 247583 282952 403144 495166 813487 990332 1626974 1980664 3253948 5694409 6507896 11388818 22777636 45555272