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2085502464 = 293450287
BaseRepresentation
bin111110001001110…
…0011111000000000
312101100020111120000
41330103203320000
513232342034324
6542535320000
7102452323053
oct17423437000
95340214500
102085502464
11980236961
124a2520000
132730b3136
1415ad94a9a
15c31519c9
hex7c4e3e00

2085502464 has 100 divisors (see below), whose sum is σ = 6224799504. Its totient is φ = 695153664.

The previous prime is 2085502457. The next prime is 2085502469. The reversal of 2085502464 is 4642055802.

It is a happy number.

2085502464 is a `hidden beast` number, since 20 + 8 + 550 + 24 + 64 = 666.

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 (2085502469) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16329 + ... + 66615.

Almost surely, 22085502464 is an apocalyptic number.

2085502464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112399752).

2085502464 is an abundant number, since it is smaller than the sum of its proper divisors (4139297040).

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

2085502464 is an frugal number, since it uses more digits than its factorization.

2085502464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50317 (or 50292 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2085502464 is about 45667.3019128566. The cubic root of 2085502464 is about 1277.6254936506.

The spelling of 2085502464 in words is "two billion, eighty-five million, five hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 50287 100574 150861 201148 301722 402296 452583 603444 804592 905166 1206888 1357749 1609184 1810332 2413776 2715498 3218368 3620664 4073247 4827552 5430996 6436736 7241328 8146494 9655104 10861992 12873472 14482656 16292988 19310208 21723984 25746944 28965312 32585976 38620416 43447968 57930624 65171952 77240832 86895936 115861248 130343904 173791872 231722496 260687808 347583744 521375616 695167488 1042751232 2085502464