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2042032432 = 2411671571103
BaseRepresentation
bin111100110110110…
…1111000100110000
312021022102222212211
41321231233010300
513140230014212
6534343501504
7101413663216
oct17155570460
95238388784
102042032432
11958746210
1248ba57894
132670a301b
141552bacb6
15be4169a7
hex79b6f130

2042032432 has 80 divisors (see below), whose sum is σ = 4412431872. Its totient is φ = 907695360.

The previous prime is 2042032417. The next prime is 2042032441. The reversal of 2042032432 is 2342302402.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1850793 + ... + 1851895.

Almost surely, 22042032432 is an apocalyptic number.

2042032432 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 2042032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206215936).

2042032432 is an abundant number, since it is smaller than the sum of its proper divisors (2370399440).

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

2042032432 is a wasteful number, since it uses less digits than its factorization.

2042032432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2042032432 is about 45188.8529617648. The cubic root of 2042032432 is about 1268.6861879883.

Adding to 2042032432 its reverse (2342302402), we get a palindrome (4384334834).

The spelling of 2042032432 in words is "two billion, forty-two million, thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 157 176 268 314 536 628 737 1072 1103 1256 1474 1727 2206 2512 2948 3454 4412 5896 6908 8824 10519 11792 12133 13816 17648 21038 24266 27632 42076 48532 73901 84152 97064 115709 147802 168304 173171 194128 231418 295604 346342 462836 591208 692684 812911 925672 1182416 1385368 1625822 1851344 1904881 2770736 3251644 3809762 6503288 7619524 11602457 13006576 15239048 23204914 30478096 46409828 92819656 127627027 185639312 255254054 510508108 1021016216 2042032432