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490748400 = 243252136319
BaseRepresentation
bin11101010000000…
…011100111110000
31021012102121020200
4131100003213300
52001112422100
6120410235200
715106202232
oct3520034760
91235377220
10490748400
1123201859a
12118425b00
137a89608c
1449268252
152d13be00
hex1d4039f0

490748400 has 90 divisors (see below), whose sum is σ = 1703045760. Its totient is φ = 130865280.

The previous prime is 490748389. The next prime is 490748407. The reversal of 490748400 is 4847094.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490748407) 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 17 ways as a sum of consecutive naturals, for example, 64560 + ... + 71759.

Almost surely, 2490748400 is an apocalyptic number.

490748400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490748400 is an abundant number, since it is smaller than the sum of its proper divisors (1212297360).

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

490748400 is a wasteful number, since it uses less digits than its factorization.

490748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136343 (or 136329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 490748400 is about 22152.8418041569. The cubic root of 490748400 is about 788.7746854306.

The spelling of 490748400 in words is "four hundred ninety million, seven hundred forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 136319 272638 408957 545276 681595 817914 1090552 1226871 1363190 1635828 2044785 2181104 2453742 2726380 3271656 3407975 4089570 4907484 5452760 6134355 6543312 6815950 8179140 9814968 10223925 10905520 12268710 13631900 16358280 19629936 20447850 24537420 27263800 30671775 32716560 40895700 49074840 54527600 61343550 81791400 98149680 122687100 163582800 245374200 490748400