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1429207632 = 243331106721
BaseRepresentation
bin101010100101111…
…1111101001010000
310200121022021022000
41111023333221100
510411334121012
6353452514000
750263031046
oct12513775120
93617267260
101429207632
11673828936
1233a77b900
1319a136bb8
14d7b56396
1585713ddc
hex552ffa50

1429207632 has 80 divisors (see below), whose sum is σ = 4234728960. Its totient is φ = 461030400.

The previous prime is 1429207597. The next prime is 1429207639. The reversal of 1429207632 is 2367029241.

1429207632 is a `hidden beast` number, since 14 + 2 + 9 + 2 + 0 + 7 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429207639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39969 + ... + 66752.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112).

Almost surely, 21429207632 is an apocalyptic number.

1429207632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1429207632 is an abundant number, since it is smaller than the sum of its proper divisors (2805521328).

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

1429207632 is a wasteful number, since it uses less digits than its factorization.

1429207632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106769 (or 106757 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1429207632 is about 37804.8625443871. The cubic root of 1429207632 is about 1126.4150442757.

The spelling of 1429207632 in words is "one billion, four hundred twenty-nine million, two hundred seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 106721 213442 320163 426884 640326 853768 960489 1280652 1707536 1920978 2561304 2881467 3308351 3841956 5122608 5762934 6616702 7683912 9925053 11525868 13233404 15367824 19850106 23051736 26466808 29775159 39700212 46103472 52933616 59550318 79400424 89325477 119100636 158800848 178650954 238201272 357301908 476402544 714603816 1429207632