Search a number
-
+
51621100 = 225219101269
BaseRepresentation
bin1100010011101…
…0110011101100
310121010121211121
43010322303230
5101203333400
65042230324
71164525556
oct304726354
9117117747
1051621100
1127158773
12153553a4
13a90523b
146bda4d6
1547ea21a
hex313acec

51621100 has 72 divisors (see below), whose sum is σ = 119523600. Its totient is φ = 19296000.

The previous prime is 51621079. The next prime is 51621121. The reversal of 51621100 is 112615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51621079) and next prime (51621121).

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, 191766 + ... + 192034.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 251621100 is an apocalyptic number.

51621100 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 51621100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

51621100 is an abundant number, since it is smaller than the sum of its proper divisors (67902500).

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

51621100 is a wasteful number, since it uses less digits than its factorization.

51621100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 51621100 is about 7184.7825297639. The cubic root of 51621100 is about 372.3423352700.

Adding to 51621100 its reverse (112615), we get a palindrome (51733715).

The spelling of 51621100 in words is "fifty-one million, six hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 269 380 404 475 505 538 950 1010 1076 1345 1900 1919 2020 2525 2690 3838 5050 5111 5380 6725 7676 9595 10100 10222 13450 19190 20444 25555 26900 27169 38380 47975 51110 54338 95950 102220 108676 127775 135845 191900 255550 271690 511100 516211 543380 679225 1032422 1358450 2064844 2581055 2716900 5162110 10324220 12905275 25810550 51621100