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52761440 = 2552983137
BaseRepresentation
bin1100100101000…
…1001101100000
310200021120002102
43021101031200
5102001331230
65122505532
71210315304
oct311211540
9120246072
1052761440
11278674a6
12158052a8
13ac142b4
147015d04
154973045
hex3251360

52761440 has 96 divisors (see below), whose sum is σ = 131453280. Its totient is φ = 19984384.

The previous prime is 52761437. The next prime is 52761451. The reversal of 52761440 is 4416725.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 385052 + ... + 385188.

It is an arithmetic number, because the mean of its divisors is an integer number (1369305).

Almost surely, 252761440 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 52761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65726640).

52761440 is an abundant number, since it is smaller than the sum of its proper divisors (78691840).

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

52761440 is a wasteful number, since it uses less digits than its factorization.

52761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 52761440 is about 7263.7070425507. The cubic root of 52761440 is about 375.0641431019.

The spelling of 52761440 in words is "fifty-two million, seven hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 83 116 137 145 160 166 232 274 290 332 415 464 548 580 664 685 830 928 1096 1160 1328 1370 1660 2192 2320 2407 2656 2740 3320 3973 4384 4640 4814 5480 6640 7946 9628 10960 11371 12035 13280 15892 19256 19865 21920 22742 24070 31784 38512 39730 45484 48140 56855 63568 77024 79460 90968 96280 113710 127136 158920 181936 192560 227420 317840 329759 363872 385120 454840 635680 659518 909680 1319036 1648795 1819360 2638072 3297590 5276144 6595180 10552288 13190360 26380720 52761440