Search a number
-
+
252869040 = 2434539023
BaseRepresentation
bin11110001001001…
…11100110110000
3122121211002010000
433010213212300
51004213302130
641031510000
76160231344
oct1704474660
9577732100
10252869040
1111a813286
1270828300
1340508568
1425825624
15172ee260
hexf1279b0

252869040 has 100 divisors (see below), whose sum is σ = 878274144. Its totient is φ = 67430016.

The previous prime is 252869039. The next prime is 252869053. The reversal of 252869040 is 40968252.

It is a happy number.

252869040 is a `hidden beast` number, since 2 + 528 + 6 + 90 + 40 = 666.

252869040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252868986 and 252869004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13032 + ... + 25991.

Almost surely, 2252869040 is an apocalyptic number.

252869040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252869040 is an abundant number, since it is smaller than the sum of its proper divisors (625405104).

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

252869040 is a wasteful number, since it uses less digits than its factorization.

252869040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39048 (or 39033 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252869040 is about 15901.8564953907. The cubic root of 252869040 is about 632.3612072888.

The spelling of 252869040 in words is "two hundred fifty-two million, eight hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 39023 78046 117069 156092 195115 234138 312184 351207 390230 468276 585345 624368 702414 780460 936552 1053621 1170690 1404828 1560920 1756035 1873104 2107242 2341380 2809656 3121840 3160863 3512070 4214484 4682760 5268105 5619312 6321726 7024140 8428968 9365520 10536210 12643452 14048280 15804315 16857936 21072420 25286904 28096560 31608630 42144840 50573808 63217260 84289680 126434520 252869040