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1429402896 = 243323263547
BaseRepresentation
bin101010100110010…
…1111010100010000
310200121200012011000
41111030233110100
510411411343041
6353501022000
750264503245
oct12514572420
93617605130
101429402896
11673951609
1233a854900
1319a1a4a3c
14d7ba75cc
1585751bb6
hex5532f510

1429402896 has 160 divisors (see below), whose sum is σ = 4305438720. Its totient is φ = 453188736.

The previous prime is 1429402859. The next prime is 1429402937. The reversal of 1429402896 is 6982049241.

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, 2612895 + ... + 2613441.

It is an arithmetic number, because the mean of its divisors is an integer number (26908992).

Almost surely, 21429402896 is an apocalyptic number.

1429402896 is a gapful number since it is divisible by the number (16) 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 1429402896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152719360).

1429402896 is an abundant number, since it is smaller than the sum of its proper divisors (2876035824).

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

1429402896 is a wasteful number, since it uses less digits than its factorization.

1429402896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1429402896 is about 37807.4449811145. Note that the first 3 decimals coincide. The cubic root of 1429402896 is about 1126.4663403660.

The spelling of 1429402896 in words is "one billion, four hundred twenty-nine million, four hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 263 276 368 414 432 526 547 552 621 789 828 1052 1094 1104 1242 1578 1641 1656 2104 2188 2367 2484 3156 3282 3312 4208 4376 4734 4923 4968 6049 6312 6564 7101 8752 9468 9846 9936 12098 12581 12624 13128 14202 14769 18147 18936 19692 24196 25162 26256 28404 29538 36294 37743 37872 39384 48392 50324 54441 56808 59076 72588 75486 78768 96784 100648 108882 113229 113616 118152 143861 145176 150972 163323 201296 217764 226458 236304 287722 290352 301944 326646 339687 431583 435528 452916 575444 603888 653292 679374 863166 871056 905832 1150888 1294749 1306584 1358748 1726332 1811664 2301776 2589498 2613168 2717496 3308803 3452664 3884247 5178996 5434992 6617606 6905328 7768494 9926409 10357992 13235212 15536988 19852818 20715984 26470424 29779227 31073976 39705636 52940848 59558454 62147952 79411272 89337681 119116908 158822544 178675362 238233816 357350724 476467632 714701448 1429402896