Search a number
-
+
8041133952 = 27332326717
BaseRepresentation
bin1110111110100100…
…11111011110000000
3202202101210221002000
413133102133132000
5112432012241302
63405525224000
7403160340135
oct73722373600
922671727060
108041133952
113457012a55
121684b62000
139b1c15b37
14563d3458c
15320e2331c
hex1df49f780

8041133952 has 64 divisors (see below), whose sum is σ = 23732523600. Its totient is φ = 2680376832.

The previous prime is 8041133929. The next prime is 8041133957. The reversal of 8041133952 is 2593311408.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8041133957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159903 + ... + 1166814.

Almost surely, 28041133952 is an apocalyptic number.

It is an amenable number.

8041133952 is an abundant number, since it is smaller than the sum of its proper divisors (15691389648).

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

8041133952 is a wasteful number, since it uses less digits than its factorization.

8041133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326740 (or 2326722 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8041133952 is about 89672.3700590098. The cubic root of 8041133952 is about 2003.4219710512.

The spelling of 8041133952 in words is "eight billion, forty-one million, one hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 2326717 4653434 6980151 9306868 13960302 18613736 20940453 27920604 37227472 41880906 55841208 62821359 74454944 83761812 111682416 125642718 148909888 167523624 223364832 251285436 297819776 335047248 446729664 502570872 670094496 893459328 1005141744 1340188992 2010283488 2680377984 4020566976 8041133952