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46420480 = 29518133
BaseRepresentation
bin1011000100010…
…1001000000000
310020100101221001
42301011020000
543340423410
64334541344
71102365451
oct261051000
9106311831
1046420480
1124226437
1213667854
139804052
146245128
15411e33a
hex2c45200

46420480 has 40 divisors (see below), whose sum is σ = 111306492. Its totient is φ = 18567168.

The previous prime is 46420469. The next prime is 46420499. The reversal of 46420480 is 8402464.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 614656 = 6768^2 + 784^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6507 + ... + 11626.

Almost surely, 246420480 is an apocalyptic number.

46420480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46420480 is an abundant number, since it is smaller than the sum of its proper divisors (64886012).

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

46420480 is an equidigital number, since it uses as much as digits as its factorization.

46420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18156 (or 18140 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 46420480 is about 6813.2576642895. The cubic root of 46420480 is about 359.3932165183.

The spelling of 46420480 in words is "forty-six million, four hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 18133 36266 72532 90665 145064 181330 290128 362660 580256 725320 1160512 1450640 2321024 2901280 4642048 5802560 9284096 11605120 23210240 46420480