Search a number
-
+
51938496 = 263443233
BaseRepresentation
bin1100011000100…
…0010011000000
310121201202020000
43012020103000
5101244012441
65053120000
71200320121
oct306102300
9117652200
1051938496
1127355185
1215489000
13a9b684c
146c80048
15485e2b6
hex31884c0

51938496 has 140 divisors (see below), whose sum is σ = 158218632. Its totient is φ = 16837632.

The previous prime is 51938489. The next prime is 51938521. The reversal of 51938496 is 69483915.

It is a happy number.

It is a super-4 number, since 4×519384964 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222796 + ... + 223028.

Almost surely, 251938496 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 51938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79109316).

51938496 is an abundant number, since it is smaller than the sum of its proper divisors (106280136).

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

51938496 is a wasteful number, since it uses less digits than its factorization.

51938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 51938496 is about 7206.8367540829. The cubic root of 51938496 is about 373.1039009811.

It can be divided in two parts, 5193 and 8496, that added together give a square (13689 = 1172).

The spelling of 51938496 in words is "fifty-one million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 233 258 288 324 344 387 432 466 516 576 648 688 699 774 864 932 1032 1161 1296 1376 1398 1548 1728 1864 2064 2097 2322 2592 2752 2796 3096 3483 3728 4128 4194 4644 5184 5592 6192 6291 6966 7456 8256 8388 9288 10019 11184 12384 12582 13932 14912 16776 18576 18873 20038 22368 24768 25164 27864 30057 33552 37152 37746 40076 44736 50328 55728 60114 67104 74304 75492 80152 90171 100656 111456 120228 134208 150984 160304 180342 201312 222912 240456 270513 301968 320608 360684 402624 480912 541026 603936 641216 721368 811539 961824 1082052 1207872 1442736 1623078 1923648 2164104 2885472 3246156 4328208 5770944 6492312 8656416 12984624 17312832 25969248 51938496