Search a number
-
+
51808848 = 24371329409
BaseRepresentation
bin1100010110100…
…0101001010000
310121111011101020
43011220221100
5101230340343
65050235440
71166240130
oct305505120
9117434336
1051808848
1127276833
1215425b80
13a96c830
146c48ac0
154835b83
hex3168a50

51808848 has 160 divisors (see below), whose sum is σ = 170822400. Its totient is φ = 13160448.

The previous prime is 51808817. The next prime is 51808853. The reversal of 51808848 is 84880815.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126468 + ... + 126876.

It is an arithmetic number, because the mean of its divisors is an integer number (1067640).

Almost surely, 251808848 is an apocalyptic number.

51808848 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51808848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85411200).

51808848 is an abundant number, since it is smaller than the sum of its proper divisors (119013552).

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

51808848 is a wasteful number, since it uses less digits than its factorization.

51808848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 51808848 is about 7197.8363415682. The cubic root of 51808848 is about 372.7931970859.

It can be divided in two parts, 5180 and 8848, that added together give a triangular number (14028 = T167).

The spelling of 51808848 in words is "fifty-one million, eight hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 409 464 546 609 624 696 728 754 812 818 1092 1131 1218 1227 1392 1456 1508 1624 1636 2184 2262 2436 2454 2639 2863 3016 3248 3272 4368 4524 4872 4908 5278 5317 5726 6032 6544 7917 8589 9048 9744 9816 10556 10634 11452 11861 15834 15951 17178 18096 19632 21112 21268 22904 23722 31668 31902 34356 35583 37219 42224 42536 45808 47444 63336 63804 68712 71166 74438 83027 85072 94888 111657 126672 127608 137424 142332 148876 154193 166054 189776 223314 249081 255216 284664 297752 308386 332108 446628 462579 498162 569328 595504 616772 664216 893256 925158 996324 1079351 1233544 1328432 1786512 1850316 1992648 2158702 2467088 3238053 3700632 3985296 4317404 6476106 7401264 8634808 12952212 17269616 25904424 51808848