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46900080 = 2433521713
BaseRepresentation
bin1011001011101…
…0001101110000
310021020202211000
42302322031300
544001300310
64353122000
71106433633
oct262721560
9107222730
1046900080
11245237a7
1213859300
139941436
14632bc1a
1541b64c0
hex2cba370

46900080 has 80 divisors (see below), whose sum is σ = 161552160. Its totient is φ = 12506112.

The previous prime is 46900079. The next prime is 46900081. The reversal of 46900080 is 8000964.

46900080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46900079) and next prime (46900081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46900081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8697 + ... + 13016.

It is an arithmetic number, because the mean of its divisors is an integer number (2019402).

Almost surely, 246900080 is an apocalyptic number.

46900080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46900080 is an abundant number, since it is smaller than the sum of its proper divisors (114652080).

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

46900080 is a wasteful number, since it uses less digits than its factorization.

46900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21735 (or 21723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 46900080 is about 6848.3633081197. The cubic root of 46900080 is about 360.6266862125.

The spelling of 46900080 in words is "forty-six million, nine hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 21713 43426 65139 86852 108565 130278 173704 195417 217130 260556 325695 347408 390834 434260 521112 586251 651390 781668 868520 977085 1042224 1172502 1302780 1563336 1737040 1954170 2345004 2605560 2931255 3126672 3908340 4690008 5211120 5862510 7816680 9380016 11725020 15633360 23450040 46900080