Search a number
-
+
53288340 = 22357711787
BaseRepresentation
bin1100101101000…
…1110110010100
310201021022212020
43023101312110
5102120211330
65142053140
71214641410
oct313216624
9121238766
1053288340
1128097356
1215a1a1b0
13b06a081
147111d40
154a29210
hex32d1d94

53288340 has 96 divisors (see below), whose sum is σ = 173021184. Its totient is φ = 12001920.

The previous prime is 53288327. The next prime is 53288351. The reversal of 53288340 is 4388235.

53288340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28927 + ... + 30713.

It is an arithmetic number, because the mean of its divisors is an integer number (1802304).

Almost surely, 253288340 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 53288340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86510592).

53288340 is an abundant number, since it is smaller than the sum of its proper divisors (119732844).

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

53288340 is a wasteful number, since it uses less digits than its factorization.

53288340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 53288340 is about 7299.8863004844. The cubic root of 53288340 is about 376.3085309030.

It can be divided in two parts, 53288 and 340, that added together give a triangular number (53628 = T327).

The spelling of 53288340 in words is "fifty-three million, two hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1787 1988 2130 2485 2982 3574 4260 4970 5361 5964 7148 7455 8935 9940 10722 12509 14910 17870 21444 25018 26805 29820 35740 37527 50036 53610 62545 75054 107220 125090 126877 150108 187635 250180 253754 375270 380631 507508 634385 750540 761262 888139 1268770 1522524 1776278 1903155 2537540 2664417 3552556 3806310 4440695 5328834 7612620 8881390 10657668 13322085 17762780 26644170 53288340