Search a number
-
+
53916390 = 23251124951
BaseRepresentation
bin1100110110101…
…1001011100110
310202110020101100
43031223023212
5102300311030
65203340530
71223165433
oct315531346
9122406340
1053916390
1128486200
1216081746
13b229bb8
147236b8a
154b00360
hex336b2e6

53916390 has 72 divisors (see below), whose sum is σ = 154116144. Its totient is φ = 13068000.

The previous prime is 53916389. The next prime is 53916391. The reversal of 53916390 is 9361935.

It is an interprime number because it is at equal distance from previous prime (53916389) and next prime (53916391).

It is a super-2 number, since 2×539163902 = 5813954221264200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53916391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8415 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (2140502).

Almost surely, 253916390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53916390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77058072).

53916390 is an abundant number, since it is smaller than the sum of its proper divisors (100199754).

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

53916390 is a wasteful number, since it uses less digits than its factorization.

53916390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 53916390 is about 7342.7780846217. The cubic root of 53916390 is about 377.7811364241.

It can be divided in two parts, 5391 and 6390, that added together give a triangular number (11781 = T153).

The spelling of 53916390 in words is "fifty-three million, nine hundred sixteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 4951 5445 9902 10890 14853 24755 29706 44559 49510 54461 74265 89118 108922 148530 163383 222795 272305 326766 445590 490149 544610 599071 816915 980298 1198142 1633830 1797213 2450745 2995355 3594426 4901490 5391639 5990710 8986065 10783278 17972130 26958195 53916390