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52785408 = 2831317311
BaseRepresentation
bin1100100101011…
…1000100000000
310200022202222010
43021113010000
5102003113113
65123212520
71210445214
oct311270400
9120282863
1052785408
1127883505
1215817140
13ac22190
147020944
15497a1c3
hex3257100

52785408 has 144 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 15237120.

The previous prime is 52785377. The next prime is 52785419. The reversal of 52785408 is 80458725.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 169573 + ... + 169883.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 252785408 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 52785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

52785408 is an abundant number, since it is smaller than the sum of its proper divisors (107922048).

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

52785408 is a wasteful number, since it uses less digits than its factorization.

52785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 52785408 is about 7265.3567014979. The cubic root of 52785408 is about 375.1209281106.

The spelling of 52785408 in words is "fifty-two million, seven hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 311 312 384 408 416 442 544 622 624 663 768 816 832 884 933 1088 1244 1248 1326 1632 1664 1768 1866 2176 2488 2496 2652 3264 3328 3536 3732 4043 4352 4976 4992 5287 5304 6528 7072 7464 8086 9952 9984 10574 10608 12129 13056 14144 14928 15861 16172 19904 21148 21216 24258 28288 29856 31722 32344 39808 42296 42432 48516 56576 59712 63444 64688 68731 79616 84592 84864 97032 119424 126888 129376 137462 169184 169728 194064 206193 238848 253776 258752 274924 338368 388128 412386 507552 517504 549848 676736 776256 824772 1015104 1035008 1099696 1353472 1552512 1649544 2030208 2199392 3105024 3299088 4060416 4398784 6598176 8797568 13196352 17595136 26392704 52785408