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45772441 = 11133741211
BaseRepresentation
bin1010111010011…
…0111010011001
310012010110222121
42232212322121
543204204231
64313021241
71064026231
oct256467231
9105113877
1045772441
1123923570
12133b4821
1396380b0
146116cc1
154042311
hex2ba6e99

45772441 has 32 divisors (see below), whose sum is σ = 56843136. Its totient is φ = 36288000.

The previous prime is 45772429. The next prime is 45772453. The reversal of 45772441 is 14427754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45772429) and next prime (45772453).

It is a 4-Lehmer number, since φ(45772441) divides (45772441-1)4.

It is a cyclic number.

It is not a de Polignac number, because 45772441 - 25 = 45772409 is a prime.

It is a deceptive number, since it divides R45772440.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45772397 and 45772406.

It is not an unprimeable number, because it can be changed into a prime (45772481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216826 + ... + 217036.

It is an arithmetic number, because the mean of its divisors is an integer number (1776348).

Almost surely, 245772441 is an apocalyptic number.

45772441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45772441 is a deficient number, since it is larger than the sum of its proper divisors (11070695).

45772441 is a wasteful number, since it uses less digits than its factorization.

45772441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its digits is 31360, while the sum is 34.

The square root of 45772441 is about 6765.5333123118. The cubic root of 45772441 is about 357.7129733334.

The spelling of 45772441 in words is "forty-five million, seven hundred seventy-two thousand, four hundred forty-one".

Divisors: 1 11 13 37 41 143 211 407 451 481 533 1517 2321 2743 5291 5863 7807 8651 16687 19721 30173 85877 95161 101491 112463 216931 320087 1116401 1237093 3520957 4161131 45772441