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50394400 = 255278999
BaseRepresentation
bin1100000000111…
…1010100100000
310111211022010021
43000033110200
5100400110100
65000043224
71151226310
oct300172440
9114738107
1050394400
11264a0071
1214a63514
13a595a94
14699b440
154656a1a
hex300f520

50394400 has 72 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 17276160.

The previous prime is 50394397. The next prime is 50394433. The reversal of 50394400 is 449305.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1101 + ... + 10099.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 250394400 is an apocalyptic number.

50394400 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 50394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

50394400 is an abundant number, since it is smaller than the sum of its proper divisors (90221600).

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

50394400 is a wasteful number, since it uses less digits than its factorization.

50394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 50394400 is about 7098.9013234444. The cubic root of 50394400 is about 369.3692687328.

The spelling of 50394400 in words is "fifty million, three hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 8999 17998 35996 44995 62993 71992 89990 125986 143984 179980 224975 251972 287968 314965 359960 449950 503944 629930 719920 899900 1007888 1259860 1439840 1574825 1799800 2015776 2519720 3149650 3599600 5039440 6299300 7199200 10078880 12598600 25197200 50394400