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5046400 = 27521983
BaseRepresentation
bin10011010000000010000000
3100111101100201
4103100002000
52242441100
6300054544
760615352
oct23200200
910441321
105046400
112937487
121834454
131078c48
149550d2
1569a36a
hex4d0080

5046400 has 96 divisors (see below), whose sum is σ = 13280400. Its totient is φ = 1889280.

The previous prime is 5046383. The next prime is 5046401. The reversal of 5046400 is 46405.

5046400 = 283 + 293 + ... + 673.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (5046401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60759 + ... + 60841.

Almost surely, 25046400 is an apocalyptic number.

5046400 is a gapful number since it is divisible by the number (50) 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 5046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640200).

5046400 is an abundant number, since it is smaller than the sum of its proper divisors (8234000).

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

5046400 is a wasteful number, since it uses less digits than its factorization.

5046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5046400 is about 2246.4193731358. The cubic root of 5046400 is about 171.5249193844.

The spelling of 5046400 in words is "five million, forty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 83 95 100 128 152 160 166 190 200 304 320 332 380 400 415 475 608 640 664 760 800 830 950 1216 1328 1520 1577 1600 1660 1900 2075 2432 2656 3040 3154 3200 3320 3800 4150 5312 6080 6308 6640 7600 7885 8300 10624 12160 12616 13280 15200 15770 16600 25232 26560 30400 31540 33200 39425 50464 53120 60800 63080 66400 78850 100928 126160 132800 157700 201856 252320 265600 315400 504640 630800 1009280 1261600 2523200 5046400