Search a number
-
+
51346890 = 23257149547
BaseRepresentation
bin1100001111011…
…1110111001010
310120121200200200
43003313313022
5101121100030
65032313030
71162304250
oct303676712
9116550620
1051346890
1126a90751
1215242776
13a83a49a
146b685d0
154793d60
hex30f7dca

51346890 has 96 divisors (see below), whose sum is σ = 153878400. Its totient is φ = 11636352.

The previous prime is 51346837. The next prime is 51346901. The reversal of 51346890 is 9864315.

It is a super-2 number, since 2×513468902 = 5273006225344200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93597 + ... + 94143.

It is an arithmetic number, because the mean of its divisors is an integer number (1602900).

Almost surely, 251346890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51346890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76939200).

51346890 is an abundant number, since it is smaller than the sum of its proper divisors (102531510).

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

51346890 is a wasteful number, since it uses less digits than its factorization.

51346890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 51346890 is about 7165.6744274353. The cubic root of 51346890 is about 371.6818733570.

The spelling of 51346890 in words is "fifty-one million, three hundred forty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 149 210 298 315 447 547 630 745 894 1043 1094 1341 1490 1641 2086 2235 2682 2735 3129 3282 3829 4470 4923 5215 5470 6258 6705 7658 8205 9387 9846 10430 11487 13410 15645 16410 18774 19145 22974 24615 31290 34461 38290 46935 49230 57435 68922 81503 93870 114870 163006 172305 244509 344610 407515 489018 570521 733527 815030 1141042 1222545 1467054 1711563 2445090 2852605 3423126 3667635 5134689 5705210 7335270 8557815 10269378 17115630 25673445 51346890