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46072296 = 23325771109
BaseRepresentation
bin1010111111000…
…0000111101000
310012200201022100
42233300013220
543243303141
64323253400
71066415364
oct257600750
9105621270
1046072296
1124008886
121351a260
13971171a
1461942a4
1540a10b6
hex2bf01e8

46072296 has 48 divisors (see below), whose sum is σ = 125108100. Its totient is φ = 15316992.

The previous prime is 46072259. The next prime is 46072303. The reversal of 46072296 is 69227064.

It is a happy number.

46072296 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 2 ways, for example, as 46049796 + 22500 = 6786^2 + 150^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 46072296.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40990 + ... + 42098.

Almost surely, 246072296 is an apocalyptic number.

It is an amenable number.

46072296 is an abundant number, since it is smaller than the sum of its proper divisors (79035804).

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

46072296 is a wasteful number, since it uses less digits than its factorization.

46072296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 46072296 is about 6787.6576224792. The cubic root of 46072296 is about 358.4923990149.

It can be divided in two parts, 4607 and 2296, that added together give a triangular number (6903 = T117).

The spelling of 46072296 in words is "forty-six million, seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 577 1109 1154 1731 2218 2308 3327 3462 4436 4616 5193 6654 6924 8872 9981 10386 13308 13848 19962 20772 26616 39924 41544 79848 639893 1279786 1919679 2559572 3839358 5119144 5759037 7678716 11518074 15357432 23036148 46072296