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52915440 = 2435972273
BaseRepresentation
bin1100100111011…
…0110011110000
310200120101100010
43021312303300
5102021243230
65130054520
71211526264
oct311666360
9120511303
1052915440
1127962176
121587a440
13ac69416
1470560a4
1549a39b0
hex3276cf0

52915440 has 80 divisors (see below), whose sum is σ = 165801888. Its totient is φ = 13959168.

The previous prime is 52915427. The next prime is 52915477. The reversal of 52915440 is 4451925.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52915398 and 52915407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22144 + ... + 24416.

Almost surely, 252915440 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 52915440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82900944).

52915440 is an abundant number, since it is smaller than the sum of its proper divisors (112886448).

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

52915440 is a wasteful number, since it uses less digits than its factorization.

52915440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 52915440 is about 7274.2999663198. The cubic root of 52915440 is about 375.4287008326.

It can be divided in two parts, 5291 and 5440, that added together give a triangular number (10731 = T146).

The spelling of 52915440 in words is "fifty-two million, nine hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2273 2328 2910 3880 4546 4656 5820 6819 7760 9092 11365 11640 13638 18184 22730 23280 27276 34095 36368 45460 54552 68190 90920 109104 136380 181840 220481 272760 440962 545520 661443 881924 1102405 1322886 1763848 2204810 2645772 3307215 3527696 4409620 5291544 6614430 8819240 10583088 13228860 17638480 26457720 52915440