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1429392880 = 245372571879
BaseRepresentation
bin101010100110010…
…1100110111110000
310200121122200102001
41111030230313300
510411411033010
6353500503344
750264432116
oct12514546760
93617580361
101429392880
11673945033
1233a84ab54
1319a1a0306
14d7ba3ab6
158574dc3a
hex5532cdf0

1429392880 has 80 divisors (see below), whose sum is σ = 3428262720. Its totient is φ = 553844736.

The previous prime is 1429392869. The next prime is 1429392889. The reversal of 1429392880 is 882939241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1429392880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429392889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759781 + ... + 761659.

It is an arithmetic number, because the mean of its divisors is an integer number (42853284).

Almost surely, 21429392880 is an apocalyptic number.

1429392880 is a gapful number since it is divisible by the number (10) 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 1429392880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714131360).

1429392880 is an abundant number, since it is smaller than the sum of its proper divisors (1998869840).

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

1429392880 is a wasteful number, since it uses less digits than its factorization.

1429392880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 1429392880 is about 37807.3125201991. The cubic root of 1429392880 is about 1126.4637092643.

The spelling of 1429392880 in words is "one billion, four hundred twenty-nine million, three hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 257 296 370 514 592 740 1028 1285 1480 1879 2056 2570 2960 3758 4112 5140 7516 9395 9509 10280 15032 18790 19018 20560 30064 37580 38036 47545 69523 75160 76072 95090 139046 150320 152144 190180 278092 347615 380360 482903 556184 695230 760720 965806 1112368 1390460 1931612 2414515 2780920 3863224 4829030 5561840 7726448 9658060 17867411 19316120 35734822 38632240 71469644 89337055 142939288 178674110 285878576 357348220 714696440 1429392880