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45512352 = 2532158029
BaseRepresentation
bin1010110110011…
…1011010100000
310011122021012200
42231213122200
543122343402
64303253200
71061564034
oct255473240
9104567180
1045512352
1123766116
12132aa200
1395768b2
14608a1c4
153ee021c
hex2b676a0

45512352 has 36 divisors (see below), whose sum is σ = 129426570. Its totient is φ = 15170688.

The previous prime is 45512351. The next prime is 45512393. The reversal of 45512352 is 25321554.

It is a happy number.

45512352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31404816 + 14107536 = 5604^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×455123523 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45512351) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 78727 + ... + 79302.

Almost surely, 245512352 is an apocalyptic number.

It is an amenable number.

45512352 is an abundant number, since it is smaller than the sum of its proper divisors (83914218).

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

45512352 is a wasteful number, since it uses less digits than its factorization.

45512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158045 (or 158034 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 45512352 is about 6746.2843106409. The cubic root of 45512352 is about 357.0341515713.

It can be divided in two parts, 4551 and 2352, that added together give a triangular number (6903 = T117).

The spelling of 45512352 in words is "forty-five million, five hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 158029 316058 474087 632116 948174 1264232 1422261 1896348 2528464 2844522 3792696 5056928 5689044 7585392 11378088 15170784 22756176 45512352