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52279440 = 2435613571
BaseRepresentation
bin1100011101101…
…1100010010000
310122101001220120
43013123202100
5101340420230
65104310240
71203240123
oct307334220
9118331816
1052279440
1127568354
1215612380
13aaa5aa5
146d2c3ba
1548ca310
hex31db890

52279440 has 80 divisors (see below), whose sum is σ = 164769216. Its totient is φ = 13708800.

The previous prime is 52279433. The next prime is 52279441. The reversal of 52279440 is 4497225.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52279441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12855 + ... + 16425.

Almost surely, 252279440 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 52279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82384608).

52279440 is an abundant number, since it is smaller than the sum of its proper divisors (112489776).

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

52279440 is a wasteful number, since it uses less digits than its factorization.

52279440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 52279440 is about 7230.4522680120. The cubic root of 52279440 is about 373.9185196210.

The spelling of 52279440 in words is "fifty-two million, two hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3571 3660 4880 7142 7320 10713 14284 14640 17855 21426 28568 35710 42852 53565 57136 71420 85704 107130 142840 171408 214260 217831 285680 428520 435662 653493 857040 871324 1089155 1306986 1742648 2178310 2613972 3267465 3485296 4356620 5227944 6534930 8713240 10455888 13069860 17426480 26139720 52279440