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46909953 = 32172571193
BaseRepresentation
bin1011001011110…
…0101000000001
310021021021100200
42302330220001
544002104303
64353235413
71106504466
oct262745001
9107237320
1046909953
1124530162
1213862b69
139945a8c
14633166d
1541b93a3
hex2cbca01

46909953 has 24 divisors (see below), whose sum is σ = 72084168. Its totient is φ = 29294592.

The previous prime is 46909943. The next prime is 46909991. The reversal of 46909953 is 35990964.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 19158129 = 5268^2 + 4377^2 .

It is not a de Polignac number, because 46909953 - 28 = 46909697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46909899 and 46909908.

It is not an unprimeable number, because it can be changed into a prime (46909943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38725 + ... + 39917.

It is an arithmetic number, because the mean of its divisors is an integer number (3003507).

Almost surely, 246909953 is an apocalyptic number.

It is an amenable number.

46909953 is a deficient number, since it is larger than the sum of its proper divisors (25174215).

46909953 is a wasteful number, since it uses less digits than its factorization.

46909953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 46909953 is about 6849.0840993523. The cubic root of 46909953 is about 360.6519897760.

The spelling of 46909953 in words is "forty-six million, nine hundred nine thousand, nine hundred fifty-three".

Divisors: 1 3 9 17 51 153 257 771 1193 2313 3579 4369 10737 13107 20281 39321 60843 182529 306601 919803 2759409 5212217 15636651 46909953