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490094400 = 26352102103
BaseRepresentation
bin11101001101100…
…011111101000000
31021011012101010110
4131031203331000
52000431010100
6120344231320
715100506435
oct3515437500
91234171113
10490094400
112317111a4
1211816b540
137a6c74b3
1449137b8c
152d05d250
hex1d363f40

490094400 has 84 divisors (see below), whose sum is σ = 1607933792. Its totient is φ = 130690560.

The previous prime is 490094387. The next prime is 490094441. The reversal of 490094400 is 4490094.

It is a super-2 number, since 2×4900944002 = 480385041822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46252 + ... + 55851.

Almost surely, 2490094400 is an apocalyptic number.

490094400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490094400 is an abundant number, since it is smaller than the sum of its proper divisors (1117839392).

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

490094400 is a wasteful number, since it uses less digits than its factorization.

490094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102128 (or 102113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 490094400 is about 22138.0757971419. The cubic root of 490094400 is about 788.4241405835.

The spelling of 490094400 in words is "four hundred ninety million, ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 102103 204206 306309 408412 510515 612618 816824 1021030 1225236 1531545 1633648 2042060 2450472 2552575 3063090 3267296 4084120 4900944 5105150 6126180 6534592 7657725 8168240 9801888 10210300 12252360 15315450 16336480 19603776 20420600 24504720 30630900 32672960 40841200 49009440 61261800 81682400 98018880 122523600 163364800 245047200 490094400