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5432303772 = 223378878101
BaseRepresentation
bin1010000111100101…
…00110000010011100
3112000120211121212000
411003302212002130
542111132210042
62255013042300
7251421551220
oct50362460234
915016747760
105432303772
112338437255
121077326390
136875a093c
14397674780
1521bd9b74c
hex143ca609c

5432303772 has 96 divisors (see below), whose sum is σ = 16115850240. Its totient is φ = 1550145600.

The previous prime is 5432303759. The next prime is 5432303797. The reversal of 5432303772 is 2773032345.

5432303772 is a `hidden beast` number, since 54 + 3 + 230 + 377 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666522 + ... + 674622.

It is an arithmetic number, because the mean of its divisors is an integer number (167873440).

Almost surely, 25432303772 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 5432303772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057925120).

5432303772 is an abundant number, since it is smaller than the sum of its proper divisors (10683546468).

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

5432303772 is a wasteful number, since it uses less digits than its factorization.

5432303772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 5432303772 is about 73704.1638715209. The cubic root of 5432303772 is about 1757.9020900870.

The spelling of 5432303772 in words is "five billion, four hundred thirty-two million, three hundred three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 887 1774 2661 3548 5322 6209 7983 8101 10644 12418 15966 16202 18627 23949 24303 24836 31932 32404 37254 47898 48606 55881 56707 72909 74508 95796 97212 111762 113414 145818 167643 170121 218727 223524 226828 291636 335286 340242 437454 510363 670572 680484 874908 1020726 1531089 2041452 3062178 6124356 7185587 14371174 21556761 28742348 43113522 50299109 64670283 86227044 100598218 129340566 150897327 194010849 201196436 258681132 301794654 388021698 452691981 603589308 776043396 905383962 1358075943 1810767924 2716151886 5432303772