Search a number
-
+
51346746 = 232111731499
BaseRepresentation
bin1100001111011…
…1110100111010
310120121200111100
43003313310322
5101121043441
65032312230
71162303653
oct303676472
9116550440
1051346746
1126a90630
1215242676
13a83a3b9
146b6852a
154793cb6
hex30f7d3a

51346746 has 48 divisors (see below), whose sum is σ = 122148000. Its totient is φ = 15459360.

The previous prime is 51346727. The next prime is 51346829. The reversal of 51346746 is 64764315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51346746.

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, 33505 + ... + 35003.

It is an arithmetic number, because the mean of its divisors is an integer number (2544750).

Almost surely, 251346746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51346746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61074000).

51346746 is an abundant number, since it is smaller than the sum of its proper divisors (70801254).

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

51346746 is a wasteful number, since it uses less digits than its factorization.

51346746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1688 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 51346746 is about 7165.6643795255. The cubic root of 51346746 is about 371.6815259017.

Subtracting 51346746 from its reverse (64764315), we obtain a square (13417569 = 36632).

The spelling of 51346746 in words is "fifty-one million, three hundred forty-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1499 1557 1903 2998 3114 3806 4497 5709 8994 11418 13491 16489 17127 26982 32978 34254 49467 98934 148401 259327 296802 518654 777981 1555962 2333943 2852597 4667886 5705194 8557791 17115582 25673373 51346746