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2089740752 = 241131607631
BaseRepresentation
bin111110010001110…
…1110100111010000
312101122012211101122
41330203232213100
513234433201002
6543210221412
7102533334431
oct17443564720
95348184348
102089740752
11982671180
124a3a24868
13273c382b8
1415b779488
15c36dc6a2
hex7c8ee9d0

2089740752 has 80 divisors (see below), whose sum is σ = 4574183424. Its totient is φ = 916272000.

The previous prime is 2089740733. The next prime is 2089740761. The reversal of 2089740752 is 2570479802.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3311477 + ... + 3312107.

Almost surely, 22089740752 is an apocalyptic number.

2089740752 is a gapful number since it is divisible by the number (22) 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 2089740752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287091712).

2089740752 is an abundant number, since it is smaller than the sum of its proper divisors (2484442672).

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

2089740752 is a wasteful number, since it uses less digits than its factorization.

2089740752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 2089740752 is about 45713.6823281608. The cubic root of 2089740752 is about 1278.4903980452.

The spelling of 2089740752 in words is "two billion, eighty-nine million, seven hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 607 631 682 1214 1262 1364 2428 2524 2728 4856 5048 5456 6677 6941 9712 10096 13354 13882 18817 19561 26708 27764 37634 39122 53416 55528 75268 78244 106832 111056 150536 156488 206987 215171 301072 312976 383017 413974 430342 766034 827948 860684 1532068 1655896 1721368 3064136 3311792 3442736 4213187 6128272 8426374 11873527 16852748 23747054 33705496 47494108 67410992 94988216 130608797 189976432 261217594 522435188 1044870376 2089740752