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2045403432 = 2332233533499
BaseRepresentation
bin111100111101010…
…0110000100101000
312021112210021000200
41321322212010220
513142110402212
6534544032200
7101454433212
oct17172460450
95245707020
102045403432
1195a638966
12491002660
132679b34b7
141559175b2
15be8806dc
hex79ea6128

2045403432 has 96 divisors (see below), whose sum is σ = 5798520000. Its totient is φ = 650124288.

The previous prime is 2045403427. The next prime is 2045403463. The reversal of 2045403432 is 2343045402.

It is a junction number, because it is equal to n+sod(n) for n = 2045403396 and 2045403405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582819 + ... + 586317.

It is an arithmetic number, because the mean of its divisors is an integer number (60401250).

Almost surely, 22045403432 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 2045403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899260000).

2045403432 is an abundant number, since it is smaller than the sum of its proper divisors (3753116568).

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

2045403432 is a wasteful number, since it uses less digits than its factorization.

2045403432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2045403432 is about 45226.1366026328. The cubic root of 2045403432 is about 1269.3839225707.

Adding to 2045403432 its reverse (2343045402), we get a palindrome (4388448834).

The spelling of 2045403432 in words is "two billion, forty-five million, four hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 353 414 552 706 828 1059 1412 1656 2118 2824 3177 3499 4236 6354 6998 8119 8472 10497 12708 13996 16238 20994 24357 25416 27992 31491 32476 41988 48714 62982 64952 73071 80477 83976 97428 125964 146142 160954 194856 241431 251928 292284 321908 482862 584568 643816 724293 965724 1235147 1448586 1931448 2470294 2897172 3705441 4940588 5794344 7410882 9881176 11116323 14821764 22232646 28408381 29643528 44465292 56816762 85225143 88930584 113633524 170450286 227267048 255675429 340900572 511350858 681801144 1022701716 2045403432