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1429889232 = 243192179461
BaseRepresentation
bin101010100111010…
…0110000011010000
310200122120220021110
41111032212003100
510412022423412
6353515253320
750301600162
oct12516460320
93618526243
101429889232
11674153a42
1233aa4a240
1319a315205
14d7c92932
15857ead3c
hex553a60d0

1429889232 has 120 divisors (see below), whose sum is σ = 3928811040. Its totient is φ = 448047360.

The previous prime is 1429889207. The next prime is 1429889233. The reversal of 1429889232 is 2329889241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429889233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3101482 + ... + 3101942.

It is an arithmetic number, because the mean of its divisors is an integer number (32740092).

Almost surely, 21429889232 is an apocalyptic number.

1429889232 is a gapful number since it is divisible by the number (12) 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 1429889232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964405520).

1429889232 is an abundant number, since it is smaller than the sum of its proper divisors (2498921808).

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

1429889232 is a wasteful number, since it uses less digits than its factorization.

1429889232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 664 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 1429889232 is about 37813.8761832214. The cubic root of 1429889232 is about 1126.5940811206.

Subtracting 1429889232 from its reverse (2329889241), we obtain a palindrome (900000009).

The spelling of 1429889232 in words is "one billion, four hundred twenty-nine million, eight hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 179 228 304 358 361 456 461 537 716 722 912 922 1074 1083 1383 1432 1444 1844 2148 2166 2766 2864 2888 3401 3688 4296 4332 5532 5776 6802 7376 8592 8664 8759 10203 11064 13604 17328 17518 20406 22128 26277 27208 35036 40812 52554 54416 64619 70072 81624 82519 105108 129238 140144 163248 165038 166421 193857 210216 247557 258476 330076 332842 387714 420432 495114 499263 516952 660152 665684 775428 990228 998526 1033904 1320304 1331368 1550856 1567861 1980456 1997052 2662736 3101712 3135722 3960912 3994104 4703583 6271444 7988208 9407166 12542888 18814332 25085776 29789359 37628664 59578718 75257328 89368077 119157436 178736154 238314872 357472308 476629744 714944616 1429889232