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46823140 = 22571321979
BaseRepresentation
bin1011001010011…
…1011011100100
310021002212021101
42302213123210
543441320030
64351325444
71105663420
oct262473344
9107085241
1046823140
1124480a11
1213820884
139915400
14630bb80
15419d7ca
hex2ca76e4

46823140 has 72 divisors (see below), whose sum is σ = 121746240. Its totient is φ = 14811264.

The previous prime is 46823129. The next prime is 46823141. The reversal of 46823140 is 4132864.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 46823099 and 46823108.

It is not an unprimeable number, because it can be changed into a prime (46823141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22671 + ... + 24649.

It is an arithmetic number, because the mean of its divisors is an integer number (1690920).

Almost surely, 246823140 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 46823140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60873120).

46823140 is an abundant number, since it is smaller than the sum of its proper divisors (74923100).

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

46823140 is a wasteful number, since it uses less digits than its factorization.

46823140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 46823140 is about 6842.7436018018. The cubic root of 46823140 is about 360.4293745097.

The spelling of 46823140 in words is "forty-six million, eight hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 1979 2366 3380 3958 4732 5915 7916 9895 11830 13853 19790 23660 25727 27706 39580 51454 55412 69265 102908 128635 138530 180089 257270 277060 334451 360178 514540 668902 720356 900445 1337804 1672255 1800890 2341157 3344510 3601780 4682314 6689020 9364628 11705785 23411570 46823140