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1429964032 = 2873125741
BaseRepresentation
bin101010100111011…
…1000010100000000
310200122201200212211
41111032320110000
510412032322112
6353521031504
750302331230
oct12516702400
93618650784
101429964032
116741a5162
1233aa85594
1319a340283
14d7cb1cc0
15858130a7
hex553b8500

1429964032 has 72 divisors (see below), whose sum is σ = 3367465472. Its totient is φ = 593049600.

The previous prime is 1429964021. The next prime is 1429964033. The reversal of 1429964032 is 2304699241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429964033) 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, 42682 + ... + 68422.

Almost surely, 21429964032 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 1429964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683732736).

1429964032 is an abundant number, since it is smaller than the sum of its proper divisors (1937501440).

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

1429964032 is an equidigital number, since it uses as much as digits as its factorization.

1429964032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25795 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 1429964032 is about 37814.8652251995. The cubic root of 1429964032 is about 1126.6137254786.

The spelling of 1429964032 in words is "one billion, four hundred twenty-nine million, nine hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 25741 27776 51482 55552 102964 180187 205928 360374 411856 720748 797971 823712 1441496 1595942 1647424 2882992 3191884 3294848 5585797 5765984 6383768 6589696 11171594 11531968 12767536 22343188 23063936 25535072 44686376 46127872 51070144 89372752 102140288 178745504 204280576 357491008 714982016 1429964032