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46497968 = 2411349757
BaseRepresentation
bin1011000101100…
…0000010110000
310020111100012222
42301120002300
543400413333
64340340212
71103140406
oct261300260
9106440188
1046497968
1124279680
12136a4668
1398303ba
146265476
154137298
hex2c580b0

46497968 has 40 divisors (see below), whose sum is σ = 98691600. Its totient is φ = 21047040.

The previous prime is 46497943. The next prime is 46498061. The reversal of 46497968 is 86979464.

It is a happy number.

It is a super-3 number, since 3×464979683 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 61046 + ... + 61802.

It is an arithmetic number, because the mean of its divisors is an integer number (2467290).

Almost surely, 246497968 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 46497968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49345800).

46497968 is an abundant number, since it is smaller than the sum of its proper divisors (52193632).

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

46497968 is a wasteful number, since it uses less digits than its factorization.

46497968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The square root of 46497968 is about 6818.9418533963. The cubic root of 46497968 is about 359.5930793112.

The spelling of 46497968 in words is "forty-six million, four hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 349 698 757 1396 1514 2792 3028 3839 5584 6056 7678 8327 12112 15356 16654 30712 33308 61424 66616 133232 264193 528386 1056772 2113544 2906123 4227088 5812246 11624492 23248984 46497968