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50401400 = 23527237139
BaseRepresentation
bin1100000001000…
…1000001111000
310111211122201112
43000101001320
5100400321100
65000135452
71151255600
oct300210170
9114748645
1050401400
11264a5355
1214a67588
13a59901a
14699dc00
154658b35
hex3011078

50401400 has 144 divisors (see below), whose sum is σ = 141006600. Its totient is φ = 16692480.

The previous prime is 50401369. The next prime is 50401427. The reversal of 50401400 is 410405.

It is a super-2 number, since 2×504014002 = 5080602243920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362531 + ... + 362669.

Almost surely, 250401400 is an apocalyptic number.

50401400 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 50401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70503300).

50401400 is an abundant number, since it is smaller than the sum of its proper divisors (90605200).

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

50401400 is a wasteful number, since it uses less digits than its factorization.

50401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 50401400 is about 7099.3943403645. The cubic root of 50401400 is about 369.3863702704.

Adding to 50401400 its reverse (410405), we get a palindrome (50811805).

The spelling of 50401400 in words is "fifty million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 49 50 56 70 74 98 100 139 140 148 175 185 196 200 245 259 278 280 296 350 370 392 490 518 556 695 700 740 925 973 980 1036 1112 1225 1295 1390 1400 1480 1813 1850 1946 1960 2072 2450 2590 2780 3475 3626 3700 3892 4865 4900 5143 5180 5560 6475 6811 6950 7252 7400 7784 9065 9730 9800 10286 10360 12950 13622 13900 14504 18130 19460 20572 24325 25715 25900 27244 27800 34055 36001 36260 38920 41144 45325 48650 51430 51800 54488 68110 72002 72520 90650 97300 102860 128575 136220 144004 170275 180005 181300 194600 205720 252007 257150 272440 288008 340550 360010 362600 504014 514300 681100 720020 900025 1008028 1028600 1260035 1362200 1440040 1800050 2016056 2520070 3600100 5040140 6300175 7200200 10080280 12600350 25200700 50401400