Search a number
-
+
494711400 = 23352827997
BaseRepresentation
bin11101011111001…
…011001001101000
31021110212221110110
4131133023021220
52003121231100
6121031214320
715154656201
oct3537131150
91243787413
10494711400
11234284aa7
121198173a0
137b652b51
14499ba5a8
152d671250
hex1d7cb268

494711400 has 96 divisors (see below), whose sum is σ = 1536999840. Its totient is φ = 131631360.

The previous prime is 494711389. The next prime is 494711419. The reversal of 494711400 is 4117494.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495702 + ... + 496698.

It is an arithmetic number, because the mean of its divisors is an integer number (16010415).

Almost surely, 2494711400 is an apocalyptic number.

494711400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768499920).

494711400 is an abundant number, since it is smaller than the sum of its proper divisors (1042288440).

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

494711400 is a wasteful number, since it uses less digits than its factorization.

494711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 494711400 is about 22242.1087129795. The cubic root of 494711400 is about 790.8922248652.

Adding to 494711400 its reverse (4117494), we get a palindrome (498828894).

The spelling of 494711400 in words is "four hundred ninety-four million, seven hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 827 997 1654 1994 2481 2991 3308 3988 4135 4962 4985 5982 6616 7976 8270 9924 9970 11964 12405 14955 16540 19848 19940 20675 23928 24810 24925 29910 33080 39880 41350 49620 49850 59820 62025 74775 82700 99240 99700 119640 124050 149550 165400 199400 248100 299100 496200 598200 824519 1649038 2473557 3298076 4122595 4947114 6596152 8245190 9894228 12367785 16490380 19788456 20612975 24735570 32980760 41225950 49471140 61838925 82451900 98942280 123677850 164903800 247355700 494711400