Search a number
-
+
2452936164 = 2237377731021
BaseRepresentation
bin1001001000110100…
…1101010111100100
320022221122001211120
42102031031113210
520010422424124
61043222533540
7114533420250
oct22215152744
96287561746
102452936164
111049689278
125855972b0
13301261623
14193abd260
15e5530d79
hex9234d5e4

2452936164 has 96 divisors (see below), whose sum is σ = 6733230336. Its totient is φ = 680348160.

The previous prime is 2452936153. The next prime is 2452936169. The reversal of 2452936164 is 4616392542.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2452936169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401974 + ... + 2402994.

It is an arithmetic number, because the mean of its divisors is an integer number (70137816).

Almost surely, 22452936164 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 2452936164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366615168).

2452936164 is an abundant number, since it is smaller than the sum of its proper divisors (4280294172).

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

2452936164 is a wasteful number, since it uses less digits than its factorization.

2452936164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1843 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 2452936164 is about 49527.1255374265. The cubic root of 2452936164 is about 1348.6380712179.

The spelling of 2452936164 in words is "two billion, four hundred fifty-two million, nine hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 773 777 1021 1036 1546 1554 2042 2319 3063 3092 3108 4084 4638 5411 6126 7147 9276 10822 12252 14294 16233 21441 21644 28588 28601 32466 37777 42882 57202 64932 75554 85764 85803 113331 114404 151108 171606 200207 226662 264439 343212 400414 453324 528878 600621 789233 793317 800828 1057756 1201242 1578466 1586634 2367699 2402484 3156932 3173268 4735398 5524631 9470796 11049262 16573893 22098524 29201621 33147786 58403242 66295572 87604863 116806484 175209726 204411347 350419452 408822694 613234041 817645388 1226468082 2452936164