Search a number
-
+
252866640 = 24351381047
BaseRepresentation
bin11110001001001…
…11000001010000
3122121210221211010
433010213001100
51004213213030
641031450520
76160221345
oct1704470120
9577727733
10252866640
1111a8114a4
1270826a40
1340507440
14258247cc
15172ed6b0
hexf127050

252866640 has 80 divisors (see below), whose sum is σ = 844195968. Its totient is φ = 62243328.

The previous prime is 252866633. The next prime is 252866641. The reversal of 252866640 is 46668252.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252866641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37404 + ... + 43643.

Almost surely, 2252866640 is an apocalyptic number.

252866640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252866640 is an abundant number, since it is smaller than the sum of its proper divisors (591329328).

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

252866640 is a wasteful number, since it uses less digits than its factorization.

252866640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81076 (or 81070 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 252866640 is about 15901.7810323246. The cubic root of 252866640 is about 632.3592066858.

The spelling of 252866640 in words is "two hundred fifty-two million, eight hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 81047 162094 243141 324188 405235 486282 648376 810470 972564 1053611 1215705 1296752 1620940 1945128 2107222 2431410 3160833 3241880 3890256 4214444 4862820 5268055 6321666 6483760 8428888 9725640 10536110 12643332 15804165 16857776 19451280 21072220 25286664 31608330 42144440 50573328 63216660 84288880 126433320 252866640