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2072499792 = 2431131127997
BaseRepresentation
bin111101110000111…
…1101011001010000
312100102202220020120
41323201331121100
513221024443132
6541352510240
7102233646306
oct17341753120
95312686216
102072499792
11973965850
1249a0ab380
132704ac94c
1415936c276
15c1e3402c
hex7b87d650

2072499792 has 160 divisors (see below), whose sum is σ = 6082658304. Its totient is φ = 602380800.

The previous prime is 2072499773. The next prime is 2072499829. The reversal of 2072499792 is 2979942702.

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 31 ways as a sum of consecutive naturals, for example, 2078238 + ... + 2079234.

Almost surely, 22072499792 is an apocalyptic number.

2072499792 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 2072499792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041329152).

2072499792 is an abundant number, since it is smaller than the sum of its proper divisors (4010158512).

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

2072499792 is a wasteful number, since it uses less digits than its factorization.

2072499792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 2072499792 is about 45524.7162758869. The cubic root of 2072499792 is about 1274.9647135179.

The spelling of 2072499792 in words is "two billion, seventy-two million, four hundred ninety-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 127 132 176 186 248 254 264 341 372 381 496 508 528 682 744 762 997 1016 1023 1364 1397 1488 1524 1994 2032 2046 2728 2794 2991 3048 3937 3988 4092 4191 5456 5588 5982 6096 7874 7976 8184 8382 10967 11176 11811 11964 15748 15952 16368 16764 21934 22352 23622 23928 30907 31496 32901 33528 43307 43868 47244 47856 61814 62992 65802 67056 86614 87736 92721 94488 123628 126619 129921 131604 173228 175472 185442 188976 247256 253238 259842 263208 339977 346456 370884 379857 494512 506476 519684 526416 679954 692912 741768 759714 1012952 1019931 1039368 1359908 1392809 1483536 1519428 2025904 2039862 2078736 2719816 2785618 3038856 3925189 4079724 4178427 5439632 5571236 6077712 7850378 8159448 8356854 11142472 11775567 15700756 16318896 16713708 22284944 23551134 31401512 33427416 43177079 47102268 62803024 66854832 86354158 94204536 129531237 172708316 188409072 259062474 345416632 518124948 690833264 1036249896 2072499792