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1429740864 = 26325942071
BaseRepresentation
bin101010100111000…
…0001110101000000
310200122022100202100
41111032001311000
510412003201424
6353512150400
750300411466
oct12516016500
93618270670
101429740864
11674062522
1233a998400
1319a292816
14d7c54836
15857bbdc9
hex55381d40

1429740864 has 84 divisors (see below), whose sum is σ = 4167652320. Its totient is φ = 468491520.

The previous prime is 1429740859. The next prime is 1429740877. The reversal of 1429740864 is 4680479241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12949 + ... + 55019.

Almost surely, 21429740864 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 1429740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083826160).

1429740864 is an abundant number, since it is smaller than the sum of its proper divisors (2737911456).

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

1429740864 is a wasteful number, since it uses less digits than its factorization.

1429740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42148 (or 42135 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1429740864 is about 37811.9143128194. The cubic root of 1429740864 is about 1126.5551139316. Note that the first 3 decimals are identical.

The spelling of 1429740864 in words is "one billion, four hundred twenty-nine million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 42071 84142 126213 168284 252426 336568 378639 504852 673136 757278 1009704 1346272 1514556 2019408 2482189 2692544 3029112 4038816 4964378 6058224 7446567 8077632 9928756 12116448 14893134 19857512 22339701 24232896 29786268 39715024 44679402 59572536 79430048 89358804 119145072 158860096 178717608 238290144 357435216 476580288 714870432 1429740864