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53400450 = 23521941457
BaseRepresentation
bin1100101110110…
…1001110000010
310201111000122110
43023231032002
5102132303300
65144320150
71215616305
oct313551602
9121430573
1053400450
1128163604
1215a73056
13b0a90cc
147140b3c
154a4c550
hex32ed382

53400450 has 96 divisors (see below), whose sum is σ = 143115840. Its totient is φ = 13132800.

The previous prime is 53400443. The next prime is 53400467. The reversal of 53400450 is 5400435.

It is a happy number.

53400450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116622 + ... + 117078.

It is an arithmetic number, because the mean of its divisors is an integer number (1490790).

Almost surely, 253400450 is an apocalyptic number.

53400450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53400450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71557920).

53400450 is an abundant number, since it is smaller than the sum of its proper divisors (89715390).

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

53400450 is a wasteful number, since it uses less digits than its factorization.

53400450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 53400450 is about 7307.5611526692. The cubic root of 53400450 is about 376.5722433674.

Adding to 53400450 its reverse (5400435), we get a palindrome (58800885).

The spelling of 53400450 in words is "fifty-three million, four hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 41 50 57 75 82 95 114 123 150 190 205 246 285 410 457 475 570 615 779 914 950 1025 1230 1371 1425 1558 2050 2285 2337 2742 2850 3075 3895 4570 4674 6150 6855 7790 8683 11425 11685 13710 17366 18737 19475 22850 23370 26049 34275 37474 38950 43415 52098 56211 58425 68550 86830 93685 112422 116850 130245 187370 217075 260490 281055 356003 434150 468425 562110 651225 712006 936850 1068009 1302450 1405275 1780015 2136018 2810550 3560030 5340045 8900075 10680090 17800150 26700225 53400450