Search a number
-
+
50038400 = 275219823
BaseRepresentation
bin1011111011100…
…0011010000000
310111011012210002
42332320122000
5100302212100
64544255132
71145214356
oct276703200
9114135702
1050038400
1126277655
12149114a8
13a49ca29
1469077d6
1545d62d5
hex2fb8680

50038400 has 96 divisors (see below), whose sum is σ = 130274400. Its totient is φ = 18938880.

The previous prime is 50038399. The next prime is 50038411. The reversal of 50038400 is 483005.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 60389 + ... + 61211.

It is an arithmetic number, because the mean of its divisors is an integer number (1357025).

Almost surely, 250038400 is an apocalyptic number.

50038400 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 50038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65137200).

50038400 is an abundant number, since it is smaller than the sum of its proper divisors (80236000).

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

50038400 is a wasteful number, since it uses less digits than its factorization.

50038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 50038400 is about 7073.7825807696. The cubic root of 50038400 is about 368.4974369370.

The spelling of 50038400 in words is "fifty million, thirty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 475 608 640 760 800 823 950 1216 1520 1600 1646 1900 2432 3040 3200 3292 3800 4115 6080 6584 7600 8230 12160 13168 15200 15637 16460 20575 26336 30400 31274 32920 41150 52672 60800 62548 65840 78185 82300 105344 125096 131680 156370 164600 250192 263360 312740 329200 390925 500384 526720 625480 658400 781850 1000768 1250960 1316800 1563700 2001536 2501920 2633600 3127400 5003840 6254800 10007680 12509600 25019200 50038400