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2088098928 = 2432791731061
BaseRepresentation
bin111110001110101…
…1101110001110000
312101112010102020100
41330131131301300
513234023131203
6543111112400
7102513355656
oct17435356160
95345112210
102088098928
1198174a6a3
124a3372700
132737b1bc6
1415b46cdd6
15c34b5ea3
hex7c75dc70

2088098928 has 120 divisors (see below), whose sum is σ = 5957565120. Its totient is φ = 682606080.

The previous prime is 2088098927. The next prime is 2088098941. The reversal of 2088098928 is 8298908802.

It is a super-2 number, since 2×20880989282 = 8720314266229498368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088098923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1967518 + ... + 1968578.

It is an arithmetic number, because the mean of its divisors is an integer number (49646376).

Almost surely, 22088098928 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 2088098928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978782560).

2088098928 is an abundant number, since it is smaller than the sum of its proper divisors (3869466192).

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

2088098928 is a wasteful number, since it uses less digits than its factorization.

2088098928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 2088098928 is about 45695.7211125943. The cubic root of 2088098928 is about 1278.1554910842.

The spelling of 2088098928 in words is "two billion, eighty-eight million, ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 173 237 316 346 474 519 632 692 711 948 1038 1061 1264 1384 1422 1557 1896 2076 2122 2768 2844 3114 3183 3792 4152 4244 5688 6228 6366 8304 8488 9549 11376 12456 12732 13667 16976 19098 24912 25464 27334 38196 41001 50928 54668 76392 82002 83819 109336 123003 152784 164004 167638 183553 218672 246006 251457 328008 335276 367106 492012 502914 550659 656016 670552 734212 754371 984024 1005828 1101318 1341104 1468424 1508742 1651977 1968048 2011656 2202636 2936848 3017484 3303954 4023312 4405272 6034968 6607908 8810544 12069936 13215816 14500687 26431632 29001374 43502061 58002748 87004122 116005496 130506183 174008244 232010992 261012366 348016488 522024732 696032976 1044049464 2088098928