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45948816 = 2433106363
BaseRepresentation
bin1010111101000…
…1111110010000
310012110102221000
42233101332100
543230330231
64320502000
71065362364
oct257217620
9105412830
1045948816
1123a34031
121347a900
13969a464
1461612a4
1540796e6
hex2bd1f90

45948816 has 40 divisors (see below), whose sum is σ = 131891360. Its totient is φ = 15316128.

The previous prime is 45948809. The next prime is 45948853. The reversal of 45948816 is 61884954.

It is a super-2 number, since 2×459488162 = 4222587383603712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52750 + ... + 53613.

It is an arithmetic number, because the mean of its divisors is an integer number (3297284).

Almost surely, 245948816 is an apocalyptic number.

It is an amenable number.

45948816 is an abundant number, since it is smaller than the sum of its proper divisors (85942544).

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

45948816 is a wasteful number, since it uses less digits than its factorization.

45948816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106380 (or 106368 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45948816 is about 6778.5555983557. Note that the first 4 decimals coincide. The cubic root of 45948816 is about 358.1718430544.

It can be divided in two parts, 45948 and 816, that added together give a palindrome (46764).

The spelling of 45948816 in words is "forty-five million, nine hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 106363 212726 319089 425452 638178 850904 957267 1276356 1701808 1914534 2552712 2871801 3829068 5105424 5743602 7658136 11487204 15316272 22974408 45948816