Search a number
-
+
51931104 = 2531971401
BaseRepresentation
bin1100011000011…
…0011111100000
310121201101002020
43012012133200
5101243243404
65053021440
71200256431
oct306063740
9117641066
1051931104
112734a675
1215484880
13a9b3384
146c7b488
15485bed9
hex31867e0

51931104 has 96 divisors (see below), whose sum is σ = 145877760. Its totient is φ = 16128000.

The previous prime is 51931093. The next prime is 51931127. The reversal of 51931104 is 40113915.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129304 + ... + 129704.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 251931104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51931104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72938880).

51931104 is an abundant number, since it is smaller than the sum of its proper divisors (93946656).

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

51931104 is a wasteful number, since it uses less digits than its factorization.

51931104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 51931104 is about 7206.3238894737. The cubic root of 51931104 is about 373.0861998211.

The spelling of 51931104 in words is "fifty-one million, nine hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 71 76 96 114 142 152 213 228 284 304 401 426 456 568 608 802 852 912 1136 1203 1349 1604 1704 1824 2272 2406 2698 3208 3408 4047 4812 5396 6416 6816 7619 8094 9624 10792 12832 15238 16188 19248 21584 22857 28471 30476 32376 38496 43168 45714 56942 60952 64752 85413 91428 113884 121904 129504 170826 182856 227768 243808 341652 365712 455536 540949 683304 731424 911072 1081898 1366608 1622847 2163796 2733216 3245694 4327592 6491388 8655184 12982776 17310368 25965552 51931104