Search a number
-
+
2063880252 = 2232723973671
BaseRepresentation
bin111101100000100…
…0101000000111100
312022211112222110100
41323001011000330
513211323132002
6540444041100
7102100456410
oct17301050074
95284488410
102063880252
1196a008865
12497233190
1326b782525
14158166d40
15c12d011c
hex7b04503c

2063880252 has 144 divisors (see below), whose sum is σ = 6287404032. Its totient is φ = 558074880.

The previous prime is 2063880227. The next prime is 2063880271. The reversal of 2063880252 is 2520883602.

2063880252 is a `hidden beast` number, since 20 + 6 + 388 + 0 + 252 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560377 + ... + 564047.

It is an arithmetic number, because the mean of its divisors is an integer number (43662528).

Almost surely, 22063880252 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 2063880252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143702016).

2063880252 is an abundant number, since it is smaller than the sum of its proper divisors (4223523780).

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

2063880252 is a wasteful number, since it uses less digits than its factorization.

2063880252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2063880252 is about 45429.9488443472. The cubic root of 2063880252 is about 1273.1947286306.

The spelling of 2063880252 in words is "two billion, sixty-three million, eight hundred eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 97 126 138 161 194 207 252 276 291 322 388 414 483 582 644 679 828 873 966 1164 1358 1449 1746 1932 2037 2231 2716 2898 3492 3671 4074 4462 5796 6111 6693 7342 8148 8924 11013 12222 13386 14684 15617 20079 22026 24444 25697 26772 31234 33039 40158 44052 46851 51394 62468 66078 77091 80316 84433 93702 102788 132156 140553 154182 168866 187404 231273 253299 281106 308364 337732 356087 462546 506598 562212 591031 712174 759897 925092 1013196 1068261 1182062 1424348 1519794 1773093 2136522 2364124 2492609 3039588 3204783 3546186 4273044 4985218 5319279 6409566 7092372 7477827 8190001 9970436 10638558 12819132 14955654 16380002 21277116 22433481 24570003 29911308 32760004 44866962 49140006 57330007 73710009 89733924 98280012 114660014 147420018 171990021 229320028 294840036 343980042 515970063 687960084 1031940126 2063880252