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52773440 = 2651789109
BaseRepresentation
bin1100100101010…
…0001001000000
310200022011112212
43021110021000
5102002222230
65123041252
71210365266
oct311241100
9120264485
1052773440
1127875515
1215810228
13ac198b5
14701a436
154976895
hex3254240

52773440 has 112 divisors (see below), whose sum is σ = 135788400. Its totient is φ = 19464192.

The previous prime is 52773401. The next prime is 52773517. The reversal of 52773440 is 4437725.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 52765696 = 88^2 + 7264^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 52773397 and 52773406.

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, 484106 + ... + 484214.

Almost surely, 252773440 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 52773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67894200).

52773440 is an abundant number, since it is smaller than the sum of its proper divisors (83014960).

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

52773440 is a wasteful number, since it uses less digits than its factorization.

52773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 52773440 is about 7264.5330200915. The cubic root of 52773440 is about 375.0925756626.

The spelling of 52773440 in words is "fifty-two million, seven hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 89 109 136 160 170 178 218 272 320 340 356 436 445 544 545 680 712 872 890 1088 1090 1360 1424 1513 1744 1780 1853 2180 2720 2848 3026 3488 3560 3706 4360 5440 5696 6052 6976 7120 7412 7565 8720 9265 9701 12104 14240 14824 15130 17440 18530 19402 24208 28480 29648 30260 34880 37060 38804 48416 48505 59296 60520 74120 77608 96832 97010 118592 121040 148240 155216 164917 194020 242080 296480 310432 329834 388040 484160 592960 620864 659668 776080 824585 1319336 1552160 1649170 2638672 3104320 3298340 5277344 6596680 10554688 13193360 26386720 52773440