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46640640 = 29356073
BaseRepresentation
bin1011000111101…
…0111000000000
310020202120221010
42301322320000
543420000030
64343400520
71104303354
oct261727000
9106676833
1046640640
1124366892
1213753140
139880317
1462a1464
1541646b0
hex2c7ae00

46640640 has 80 divisors (see below), whose sum is σ = 149128848. Its totient is φ = 12435456.

The previous prime is 46640593. The next prime is 46640651. The reversal of 46640640 is 4604664.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 46640598 and 46640607.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4644 + ... + 10716.

Almost surely, 246640640 is an apocalyptic number.

46640640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74564424).

46640640 is an abundant number, since it is smaller than the sum of its proper divisors (102488208).

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

46640640 is an equidigital number, since it uses as much as digits as its factorization.

46640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 46640640 is about 6829.3952880178. The cubic root of 46640640 is about 359.9604894910.

The spelling of 46640640 in words is "forty-six million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 6073 7680 12146 18219 24292 30365 36438 48584 60730 72876 91095 97168 121460 145752 182190 194336 242920 291504 364380 388672 485840 583008 728760 777344 971680 1166016 1457520 1554688 1943360 2332032 2915040 3109376 3886720 4664064 5830080 7773440 9328128 11660160 15546880 23320320 46640640