Search a number
-
+
2014025052 = 22313379967
BaseRepresentation
bin111100000001011…
…1001010101011100
312012100202001222110
41320002321111130
513111042300202
6531503314020
7100623634104
oct17002712534
95170661873
102014025052
11943956916
124825ab910
13261348000
141516aa204
15bbc3326c
hex780b955c

2014025052 has 96 divisors (see below), whose sum is σ = 5160601600. Its totient is φ = 611222976.

The previous prime is 2014025021. The next prime is 2014025077. The reversal of 2014025052 is 2505204102.

It is a happy number.

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, 2082273 + ... + 2083239.

Almost surely, 22014025052 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 2014025052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580300800).

2014025052 is an abundant number, since it is smaller than the sum of its proper divisors (3146576548).

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

2014025052 is a wasteful number, since it uses less digits than its factorization.

2014025052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2014025052 is about 44877.8904584429. The cubic root of 2014025052 is about 1262.8592688216.

Adding to 2014025052 its reverse (2505204102), we get a palindrome (4519229154).

The spelling of 2014025052 in words is "two billion, fourteen million, twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 169 237 316 338 474 507 676 948 967 1014 1027 1934 2028 2054 2197 2901 3081 3868 4108 4394 5802 6162 6591 8788 11604 12324 12571 13182 13351 25142 26364 26702 37713 40053 50284 53404 75426 76393 80106 150852 152786 160212 163423 173563 229179 305572 326846 347126 458358 490269 520689 653692 694252 916716 980538 993109 1041378 1961076 1986218 2082756 2124499 2979327 3972436 4248998 5958654 6373497 8497996 11917308 12746994 12910417 25493988 25820834 38731251 51641668 77462502 154925004 167835421 335670842 503506263 671341684 1007012526 2014025052