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1428429184 = 27721317519
BaseRepresentation
bin101010100100100…
…0001100110000000
310200112211201110121
41111021001212000
510411134213214
6353424110024
750253306400
oct12511014600
93615751417
101428429184
11673346a96
1233a465314
13199c23790
14d79d2800
158560d424
hex55241980

1428429184 has 96 divisors (see below), whose sum is σ = 3565144800. Its totient is φ = 565060608.

The previous prime is 1428429161. The next prime is 1428429187. The reversal of 1428429184 is 4819248241.

It is a self number, because there is not a number n which added to its sum of digits gives 1428429184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428429187) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72777 + ... + 90295.

It is an arithmetic number, because the mean of its divisors is an integer number (37136925).

Almost surely, 21428429184 is an apocalyptic number.

1428429184 is a gapful number since it is divisible by the number (14) 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 1428429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782572400).

1428429184 is an abundant number, since it is smaller than the sum of its proper divisors (2136715616).

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

1428429184 is a wasteful number, since it uses less digits than its factorization.

1428429184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17560 (or 17541 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 1428429184 is about 37794.5655352724. The cubic root of 1428429184 is about 1126.2104985852.

The spelling of 1428429184 in words is "one billion, four hundred twenty-eight million, four hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 2548 2912 3136 5096 5824 6272 10192 11648 17519 20384 35038 40768 70076 81536 122633 140152 227747 245266 280304 455494 490532 560608 858431 910988 981064 1121216 1594229 1716862 1821976 1962128 2242432 3188458 3433724 3643952 3924256 6376916 6867448 7287904 7848512 11159603 12753832 13734896 14575808 15697024 22319206 25507664 27469792 29151616 44638412 51015328 54939584 89276824 102030656 109879168 178553648 204061312 357107296 714214592 1428429184