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1429874688 = 21131121157
BaseRepresentation
bin101010100111010…
…0010100000000000
310200122120011022210
41111032202200000
510412021442223
6353515102120
750301506604
oct12516424000
93618504283
101429874688
11674144020
1233aa41940
1319a30b6c8
14d7c8b504
15857e6893
hex553a2800

1429874688 has 96 divisors (see below), whose sum is σ = 4158816480. Its totient is φ = 433274880.

The previous prime is 1429874681. The next prime is 1429874701. The reversal of 1429874688 is 8864789241.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1429874681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57006 + ... + 78162.

It is an arithmetic number, because the mean of its divisors is an integer number (43321005).

Almost surely, 21429874688 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 1429874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079408240).

1429874688 is an abundant number, since it is smaller than the sum of its proper divisors (2728941792).

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

1429874688 is a wasteful number, since it uses less digits than its factorization.

1429874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21193 (or 21173 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The square root of 1429874688 is about 37813.6838723761. The cubic root of 1429874688 is about 1126.5902614215.

The spelling of 1429874688 in words is "one billion, four hundred twenty-nine million, eight hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 21157 22528 33792 42314 63471 67584 84628 126942 169256 232727 253884 338512 465454 507768 677024 698181 930908 1015536 1354048 1396362 1861816 2031072 2708096 2792724 3723632 4062144 5416192 5585448 7447264 8124288 10832384 11170896 14894528 16248576 21664768 22341792 29789056 32497152 43329536 44683584 59578112 64994304 89367168 119156224 129988608 178734336 238312448 357468672 476624896 714937344 1429874688