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5048400 = 243527601
BaseRepresentation
bin10011010000100001010000
3100111111002210
4103100201100
52243022100
6300112120
760624240
oct23204120
910444083
105048400
112938a35
121835640
131079b26
14955b20
1569ac50
hex4d0850

5048400 has 120 divisors (see below), whose sum is σ = 18512704. Its totient is φ = 1152000.

The previous prime is 5048399. The next prime is 5048401. The reversal of 5048400 is 48405.

It is an interprime number because it is at equal distance from previous prime (5048399) and next prime (5048401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5048401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8100 + ... + 8700.

Almost surely, 25048400 is an apocalyptic number.

5048400 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 5048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256352).

5048400 is an abundant number, since it is smaller than the sum of its proper divisors (13464304).

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

5048400 is a wasteful number, since it uses less digits than its factorization.

5048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5048400 is about 2246.8644818947. The cubic root of 5048400 is about 171.5475760987.

The spelling of 5048400 in words is "five million, forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 601 700 840 1050 1200 1202 1400 1680 1803 2100 2404 2800 3005 3606 4200 4207 4808 6010 7212 8400 8414 9015 9616 12020 12621 14424 15025 16828 18030 21035 24040 25242 28848 30050 33656 36060 42070 45075 48080 50484 60100 63105 67312 72120 84140 90150 100968 105175 120200 126210 144240 168280 180300 201936 210350 240400 252420 315525 336560 360600 420700 504840 631050 721200 841400 1009680 1262100 1682800 2524200 5048400