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51421200 = 2435273587
BaseRepresentation
bin1100010000101…
…0000000010000
310120202110121220
43010022000100
5101130434300
65034045040
71163034015
oct304120020
9116673556
1051421200
1127031566
1215279780
13a86525c
146b8770c
1547aada0
hex310a010

51421200 has 120 divisors (see below), whose sum is σ = 167260128. Its totient is φ = 13501440.

The previous prime is 51421193. The next prime is 51421213. The reversal of 51421200 is 212415.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51421200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87307 + ... + 87893.

Almost surely, 251421200 is an apocalyptic number.

51421200 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 51421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83630064).

51421200 is an abundant number, since it is smaller than the sum of its proper divisors (115838928).

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

51421200 is a wasteful number, since it uses less digits than its factorization.

51421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 51421200 is about 7170.8576892865. The cubic root of 51421200 is about 371.8610881503.

Adding to 51421200 its reverse (212415), we get a palindrome (51633615).

The spelling of 51421200 in words is "fifty-one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 146 150 200 219 240 292 300 365 400 438 584 587 600 730 876 1095 1168 1174 1200 1460 1752 1761 1825 2190 2348 2920 2935 3504 3522 3650 4380 4696 5475 5840 5870 7044 7300 8760 8805 9392 10950 11740 14088 14600 14675 17520 17610 21900 23480 28176 29200 29350 35220 42851 43800 44025 46960 58700 70440 85702 87600 88050 117400 128553 140880 171404 176100 214255 234800 257106 342808 352200 428510 514212 642765 685616 704400 857020 1028424 1071275 1285530 1714040 2056848 2142550 2571060 3213825 3428080 4285100 5142120 6427650 8570200 10284240 12855300 17140400 25710600 51421200