Search a number
-
+
51649884 = 2232111379127
BaseRepresentation
bin1100010100000…
…1110101011100
310121012002022200
43011001311130
5101210244014
65043011500
71165005516
oct305016534
9117162280
1051649884
1127178360
1215369b90
13a915380
146c06bb6
154803a09
hex3141d5c

51649884 has 144 divisors (see below), whose sum is σ = 156549120. Its totient is φ = 14152320.

The previous prime is 51649877. The next prime is 51649889. The reversal of 51649884 is 48894615.

Its product of digits (276480) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51649889) 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, 406629 + ... + 406755.

Almost surely, 251649884 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 51649884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78274560).

51649884 is an abundant number, since it is smaller than the sum of its proper divisors (104899236).

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

51649884 is a wasteful number, since it uses less digits than its factorization.

51649884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 51649884 is about 7186.7853731693. The cubic root of 51649884 is about 372.4115286190.

The spelling of 51649884 in words is "fifty-one million, six hundred forty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 79 99 117 127 132 143 156 158 198 234 237 254 286 316 381 396 429 468 474 508 572 711 762 858 869 948 1027 1143 1287 1397 1422 1524 1651 1716 1738 2054 2286 2574 2607 2794 2844 3081 3302 3476 4108 4191 4572 4953 5148 5214 5588 6162 6604 7821 8382 9243 9906 10033 10428 11297 12324 12573 14859 15642 16764 18161 18486 19812 20066 22594 25146 29718 30099 31284 33891 36322 36972 40132 45188 50292 54483 59436 60198 67782 72644 90297 101673 108966 110363 120396 130429 135564 163449 180594 203346 217932 220726 260858 326898 331089 361188 391287 406692 441452 521716 653796 662178 782574 993267 1173861 1324356 1434719 1565148 1986534 2347722 2869438 3973068 4304157 4695444 5738876 8608314 12912471 17216628 25824942 51649884