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499146400 = 2552623933
BaseRepresentation
bin11101110000000…
…101111010100000
31021210020021010201
4131300011322200
52010240141100
6121310234544
715240450214
oct3560057240
91253207121
10499146400
11236834095
1211b1b5a54
137c5466cc
144a412944
152dc4a36a
hex1dc05ea0

499146400 has 36 divisors (see below), whose sum is σ = 1218543102. Its totient is φ = 199658240.

The previous prime is 499146371. The next prime is 499146413. The reversal of 499146400 is 4641994.

It can be written as a sum of positive squares in 3 ways, for example, as 278088976 + 221057424 = 16676^2 + 14868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 499146400.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 311167 + ... + 312766.

Almost surely, 2499146400 is an apocalyptic number.

499146400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

499146400 is an abundant number, since it is smaller than the sum of its proper divisors (719396702).

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

499146400 is a wasteful number, since it uses less digits than its factorization.

499146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623953 (or 623940 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 499146400 is about 22341.5845454166. The cubic root of 499146400 is about 793.2486001979.

The spelling of 499146400 in words is "four hundred ninety-nine million, one hundred forty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 623933 1247866 2495732 3119665 4991464 6239330 9982928 12478660 15598325 19965856 24957320 31196650 49914640 62393300 99829280 124786600 249573200 499146400