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51894700 = 2252111319191
BaseRepresentation
bin1100010111110…
…1100110101100
310121122112010221
43011331212230
5101241112300
65052141124
71200045334
oct305754654
9117575127
1051894700
1127325290
12154677a4
13a99c930
146c6c0c4
15485131a
hex317d9ac

51894700 has 144 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 16416000.

The previous prime is 51894631. The next prime is 51894707. The reversal of 51894700 is 749815.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51894707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271605 + ... + 271795.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 251894700 is an apocalyptic number.

51894700 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 51894700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

51894700 is an abundant number, since it is smaller than the sum of its proper divisors (88096340).

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

51894700 is a wasteful number, since it uses less digits than its factorization.

51894700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 51894700 is about 7203.7976095945. The cubic root of 51894700 is about 372.9990009245. Note that the first 3 decimals are identical.

It can be divided in two parts, 5189 and 4700, that added together give a palindrome (9889).

The spelling of 51894700 in words is "fifty-one million, eight hundred ninety-four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 130 143 190 191 209 220 247 260 275 286 325 380 382 418 475 494 550 572 650 715 764 836 950 955 988 1045 1100 1235 1300 1430 1900 1910 2090 2101 2470 2483 2717 2860 3575 3629 3820 4180 4202 4775 4940 4966 5225 5434 6175 7150 7258 8404 9550 9932 10450 10505 10868 12350 12415 13585 14300 14516 18145 19100 20900 21010 24700 24830 27170 27313 36290 39919 42020 47177 49660 52525 54340 54626 62075 67925 72580 79838 90725 94354 105050 109252 124150 135850 136565 159676 181450 188708 199595 210100 235885 248300 271700 273130 362900 399190 471770 518947 546260 682825 798380 943540 997975 1037894 1179425 1365650 1995950 2075788 2358850 2594735 2731300 3991900 4717700 5189470 10378940 12973675 25947350 51894700