Search a number
-
+
52815888 = 243483491
BaseRepresentation
bin1100100101111…
…0100000010000
310200101022210000
43021132200100
5102010102023
65124010000
71210633116
oct311364020
9120338700
1052815888
11278a43a4
1215830900
13ac33008
14702bab6
154984243
hex325e810

52815888 has 100 divisors (see below), whose sum is σ = 155021328. Its totient is φ = 17357760.

The previous prime is 52815869. The next prime is 52815901. The reversal of 52815888 is 88851825.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 107323 + ... + 107813.

Almost surely, 252815888 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 52815888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77510664).

52815888 is an abundant number, since it is smaller than the sum of its proper divisors (102205440).

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

52815888 is a wasteful number, since it uses less digits than its factorization.

52815888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The square root of 52815888 is about 7267.4540246224. The cubic root of 52815888 is about 375.1931165323.

The spelling of 52815888 in words is "fifty-two million, eight hundred fifteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 491 498 648 664 747 982 996 1296 1328 1473 1494 1964 1992 2241 2946 2988 3928 3984 4419 4482 5892 5976 6723 7856 8838 8964 11784 11952 13257 13446 17676 17928 23568 26514 26892 35352 35856 39771 40753 53028 53784 70704 79542 81506 106056 107568 122259 159084 163012 212112 244518 318168 326024 366777 489036 636336 652048 733554 978072 1100331 1467108 1956144 2200662 2934216 3300993 4401324 5868432 6601986 8802648 13203972 17605296 26407944 52815888