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1429295504 = 247213140237
BaseRepresentation
bin101010100110001…
…0101000110010000
310200121110201211112
41111030111012100
510411344424004
6353454432452
750263545200
oct12514250620
93617421745
101429295504
1167388895a
1233a802728
1319a167bb0
14d7b7a400
158572ee6e
hex55315190

1429295504 has 60 divisors (see below), whose sum is σ = 3469207644. Its totient is φ = 565431552.

The previous prime is 1429295471. The next prime is 1429295507. The reversal of 1429295504 is 4055929241.

It can be written as a sum of positive squares in 2 ways, for example, as 921243904 + 508051600 = 30352^2 + 22540^2 .

It is a super-2 number, since 2×14292955042 = 4085771275509228032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1429295507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59927 + ... + 80310.

Almost surely, 21429295504 is an apocalyptic number.

1429295504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1429295504 is an abundant number, since it is smaller than the sum of its proper divisors (2039912140).

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

1429295504 is a wasteful number, since it uses less digits than its factorization.

1429295504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140272 (or 140259 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 1429295504 is about 37806.0247050652. The cubic root of 1429295504 is about 1126.4381289351.

The spelling of 1429295504 in words is "one billion, four hundred twenty-nine million, two hundred ninety-five thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 140237 280474 560948 981659 1121896 1823081 1963318 2243792 3646162 3926636 6871613 7292324 7853272 12761567 13743226 14584648 15706544 25523134 27486452 29169296 51046268 54972904 89330969 102092536 109945808 178661938 204185072 357323876 714647752 1429295504