Search a number
-
+
46496379440 = 245783029249
BaseRepresentation
bin101011010011011001…
…100111001000110000
311110000102010210202102
4223103121213020300
51230211033120230
633205442435532
73234136463360
oct532331471060
9143012123672
1046496379440
111879aaa3075
129017662ba8
1344ccc36474
1423712ac9a0
151321ec0045
hexad3667230

46496379440 has 40 divisors (see below), whose sum is σ = 123547524000. Its totient is φ = 15941615616.

The previous prime is 46496379439. The next prime is 46496379451. The reversal of 46496379440 is 4497369464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41514065 + ... + 41515184.

It is an arithmetic number, because the mean of its divisors is an integer number (3088688100).

Almost surely, 246496379440 is an apocalyptic number.

46496379440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46496379440 is an abundant number, since it is smaller than the sum of its proper divisors (77051144560).

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

46496379440 is a wasteful number, since it uses less digits than its factorization.

46496379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83029269 (or 83029263 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 56.

The spelling of 46496379440 in words is "forty-six billion, four hundred ninety-six million, three hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 83029249 166058498 332116996 415146245 581204743 664233992 830292490 1162409486 1328467984 1660584980 2324818972 2906023715 3321169960 4649637944 5812047430 6642339920 9299275888 11624094860 23248189720 46496379440