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3252756690 = 23552515333
BaseRepresentation
bin1100000111100001…
…0010000011010010
322101200122011100000
43001320102003102
523130201203230
61254433510430
7143414655441
oct30170220322
98350564300
103252756690
11141a107277
12769412416
133cab80901
1422bddcd58
1514086eb60
hexc1e120d2

3252756690 has 96 divisors (see below), whose sum is σ = 8806988736. Its totient is φ = 863784000.

The previous prime is 3252756679. The next prime is 3252756701. The reversal of 3252756690 is 966572523.

3252756690 is a `hidden beast` number, since 32 + 52 + 7 + 566 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3252756679) and next prime (3252756701).

It is a super-2 number, since 2×32527566902 = 21160852168679512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607264 + ... + 612596.

It is an arithmetic number, because the mean of its divisors is an integer number (91739466).

Almost surely, 23252756690 is an apocalyptic number.

3252756690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3252756690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403494368).

3252756690 is an abundant number, since it is smaller than the sum of its proper divisors (5554232046).

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

3252756690 is a wasteful number, since it uses less digits than its factorization.

3252756690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3252756690 is about 57032.9439008719. The cubic root of 3252756690 is about 1481.6667201189. Note that the first 3 decimals are identical.

The spelling of 3252756690 in words is "three billion, two hundred fifty-two million, seven hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 251 270 405 486 502 753 810 1215 1255 1506 2259 2430 2510 3765 4518 5333 6777 7530 10666 11295 13554 15999 20331 22590 26665 31998 33885 40662 47997 53330 60993 67770 79995 95994 101655 121986 143991 159990 203310 239985 287982 304965 431973 479970 609930 719955 863946 1295919 1338583 1439910 2159865 2591838 2677166 4015749 4319730 6479595 6692915 8031498 12047247 12959190 13385830 20078745 24094494 36141741 40157490 60236235 72283482 108425223 120472470 180708705 216850446 325275669 361417410 542126115 650551338 1084252230 1626378345 3252756690