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5429787700 = 2252195948437
BaseRepresentation
bin1010000111010001…
…11111110000110100
3112000102002210110011
411003220333300310
542110011201300
62254443110004
7251361301561
oct50350776064
915012083404
105429787700
112336a78957
121076512304
13686bcc63c
143971bb868
1521ba50eba
hex143a3fc34

5429787700 has 72 divisors (see below), whose sum is σ = 12613255200. Its totient is φ = 2022687360.

The previous prime is 5429787689. The next prime is 5429787731. The reversal of 5429787700 is 77879245.

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 23 ways as a sum of consecutive naturals, for example, 87882 + ... + 136318.

It is an arithmetic number, because the mean of its divisors is an integer number (175184100).

Almost surely, 25429787700 is an apocalyptic number.

5429787700 is a gapful number since it is divisible by the number (50) 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 5429787700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306627600).

5429787700 is an abundant number, since it is smaller than the sum of its proper divisors (7183467500).

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

5429787700 is a wasteful number, since it uses less digits than its factorization.

5429787700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48529 (or 48522 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The square root of 5429787700 is about 73687.0931710568. The cubic root of 5429787700 is about 1757.6306465488.

The spelling of 5429787700 in words is "five billion, four hundred twenty-nine million, seven hundred eighty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 59 76 95 100 118 190 236 295 380 475 590 950 1121 1180 1475 1900 2242 2950 4484 5605 5900 11210 22420 28025 48437 56050 96874 112100 193748 242185 484370 920303 968740 1210925 1840606 2421850 2857783 3681212 4601515 4843700 5715566 9203030 11431132 14288915 18406060 23007575 28577830 46015150 54297877 57155660 71444575 92030300 108595754 142889150 217191508 271489385 285778300 542978770 1085957540 1357446925 2714893850 5429787700