[go: up one dir, main page]

Search a number
-
+
52965440 = 2651141367
BaseRepresentation
bin1100101000001…
…1000001000000
310200122220220222
43022003001000
5102024343230
65131122212
71212125123
oct312030100
9120586828
1052965440
11279967a0
12158a3368
13ac860c8
14706a3ba
1549b36e5
hex3283040

52965440 has 112 divisors (see below), whose sum is σ = 141329664. Its totient is φ = 18739200.

The previous prime is 52965439. The next prime is 52965461. The reversal of 52965440 is 4456925.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52965440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144137 + ... + 144503.

It is an arithmetic number, because the mean of its divisors is an integer number (1261872).

Almost surely, 252965440 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 52965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70664832).

52965440 is an abundant number, since it is smaller than the sum of its proper divisors (88364224).

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

52965440 is a wasteful number, since it uses less digits than its factorization.

52965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 52965440 is about 7277.7359116692. The cubic root of 52965440 is about 375.5469116090.

The spelling of 52965440 in words is "fifty-two million, nine hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 160 164 176 205 220 320 328 352 367 410 440 451 656 704 734 820 880 902 1312 1468 1640 1760 1804 1835 2255 2624 2936 3280 3520 3608 3670 4037 4510 5872 6560 7216 7340 8074 9020 11744 13120 14432 14680 15047 16148 18040 20185 23488 28864 29360 30094 32296 36080 40370 58720 60188 64592 72160 75235 80740 117440 120376 129184 144320 150470 161480 165517 240752 258368 300940 322960 331034 481504 601880 645920 662068 827585 963008 1203760 1291840 1324136 1655170 2407520 2648272 3310340 4815040 5296544 6620680 10593088 13241360 26482720 52965440