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45545652 = 2234178269
BaseRepresentation
bin1010110110111…
…1100010110100
310011200221220000
42231233202310
543124430102
64304111300
71062063105
oct255574264
9104627800
1045545652
1123789139
1213305530
139588ab9
1460983ac
153eea01c
hex2b6f8b4

45545652 has 60 divisors (see below), whose sum is σ = 126084420. Its totient is φ = 14287104.

The previous prime is 45545627. The next prime is 45545653. The reversal of 45545652 is 25654554.

45545652 is a `hidden beast` number, since 4 + 554 + 56 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39012516 + 6533136 = 6246^2 + 2556^2 .

It is a super-2 number, since 2×455456522 = 4148812832210208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45545653) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1374 + ... + 9642.

It is an arithmetic number, because the mean of its divisors is an integer number (2101407).

Almost surely, 245545652 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 45545652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63042210).

45545652 is an abundant number, since it is smaller than the sum of its proper divisors (80538768).

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

45545652 is a wasteful number, since it uses less digits than its factorization.

45545652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8291 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 45545652 is about 6748.7518846080. The cubic root of 45545652 is about 357.1212073429.

The spelling of 45545652 in words is "forty-five million, five hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 8269 16538 24807 33076 49614 74421 99228 140573 148842 223263 281146 297684 421719 446526 562292 669789 843438 893052 1265157 1339578 1686876 2530314 2679156 3795471 5060628 7590942 11386413 15181884 22772826 45545652