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45631348 = 227379421
BaseRepresentation
bin1010111000010…
…0011101110100
310011212022102221
42232010131310
543140200343
64310012124
71062601000
oct256043564
9104768387
1045631348
1123837564
1213347044
1395b8ac9
1460bb700
1540155ed
hex2b84774

45631348 has 48 divisors (see below), whose sum is σ = 94528000. Its totient is φ = 19262880.

The previous prime is 45631343. The next prime is 45631363. The reversal of 45631348 is 84313654.

It is a happy number.

45631348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45631343) 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 15 ways as a sum of consecutive naturals, for example, 108178 + ... + 108598.

Almost surely, 245631348 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 45631348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47264000).

45631348 is an abundant number, since it is smaller than the sum of its proper divisors (48896652).

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

45631348 is a wasteful number, since it uses less digits than its factorization.

45631348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 45631348 is about 6755.0979267513. The cubic root of 45631348 is about 357.3450463816.

The spelling of 45631348 in words is "forty-five million, six hundred thirty-one thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 316 343 421 553 686 842 1106 1372 1684 2212 2947 3871 5894 7742 11788 15484 20629 27097 33259 41258 54194 66518 82516 108388 133036 144403 232813 288806 465626 577612 931252 1629691 3259382 6518764 11407837 22815674 45631348