Search a number
-
+
52378680 = 23353747251
BaseRepresentation
bin1100011111001…
…1110000111000
310122120010001010
43013303300320
5101402104210
65110353520
71204132344
oct307636070
9118503033
1052378680
1127625972
121565b8a0
13ab0c003
146d56624
1548e9920
hex31f3c38

52378680 has 128 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 13248000.

The previous prime is 52378673. The next prime is 52378721. The reversal of 52378680 is 8687325.

It is a super-2 number, since 2×523786802 = 5487052237084800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208555 + ... + 208805.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 252378680 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 52378680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

52378680 is an abundant number, since it is smaller than the sum of its proper divisors (113094600).

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

52378680 is a wasteful number, since it uses less digits than its factorization.

52378680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 52378680 is about 7237.3116555804. The cubic root of 52378680 is about 374.1549683321.

The spelling of 52378680 in words is "fifty-two million, three hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 47 60 74 94 111 120 141 148 185 188 222 235 251 282 296 370 376 444 470 502 555 564 705 740 753 888 940 1004 1110 1128 1255 1410 1480 1506 1739 1880 2008 2220 2510 2820 3012 3478 3765 4440 5020 5217 5640 6024 6956 7530 8695 9287 10040 10434 11797 13912 15060 17390 18574 20868 23594 26085 27861 30120 34780 35391 37148 41736 46435 47188 52170 55722 58985 69560 70782 74296 92870 94376 104340 111444 117970 139305 141564 176955 185740 208680 222888 235940 278610 283128 353910 371480 436489 471880 557220 707820 872978 1114440 1309467 1415640 1745956 2182445 2618934 3491912 4364890 5237868 6547335 8729780 10475736 13094670 17459560 26189340 52378680