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1428609024 = 21132179433
BaseRepresentation
bin101010100100110…
…1101100000000000
310200120011212011100
41111021231200000
510411210442044
6353432014400
750254655613
oct12511554000
93616155140
101428609024
1167345a117
1233a531400
13199c875ab
14d7a3c17a
1585646869
hex5526d800

1428609024 has 144 divisors (see below), whose sum is σ = 4158718200. Its totient is φ = 472449024.

The previous prime is 1428609019. The next prime is 1428609047. The reversal of 1428609024 is 4209068241.

1428609024 is a `hidden beast` number, since 1 + 4 + 28 + 609 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1428609024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3299112 + ... + 3299544.

Almost surely, 21428609024 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 1428609024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079359100).

1428609024 is an abundant number, since it is smaller than the sum of its proper divisors (2730109176).

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

1428609024 is a wasteful number, since it uses less digits than its factorization.

1428609024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1428609024 is about 37796.9446384228. The cubic root of 1428609024 is about 1126.2577601037.

The spelling of 1428609024 in words is "one billion, four hundred twenty-eight million, six hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 384 433 512 537 576 716 768 866 1024 1074 1152 1299 1432 1536 1611 1732 2048 2148 2304 2598 2864 3072 3222 3464 3897 4296 4608 5196 5728 6144 6444 6928 7794 8592 9216 10392 11456 12888 13856 15588 17184 18432 20784 22912 25776 27712 31176 34368 41568 45824 51552 55424 62352 68736 77507 83136 91648 103104 110848 124704 137472 155014 166272 183296 206208 221696 232521 249408 274944 310028 332544 366592 412416 443392 465042 498816 549888 620056 665088 697563 824832 886784 930084 997632 1099776 1240112 1330176 1395126 1649664 1860168 1995264 2480224 2660352 2790252 3299328 3720336 3990528 4960448 5580504 7440672 7981056 9920896 11161008 14881344 19841792 22322016 29762688 39683584 44644032 59525376 79367168 89288064 119050752 158734336 178576128 238101504 357152256 476203008 714304512 1428609024