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1429818858 = 2331313714867
BaseRepresentation
bin101010100111001…
…0100110111101010
310200122110022202000
41111032110313222
510412013200413
6353513551430
750301155046
oct12516246752
93618408660
101429818858
11674106086
1233aa15576
1319a2bc180
14d7c75026
15857d5073
hex55394dea

1429818858 has 64 divisors (see below), whose sum is σ = 3446997120. Its totient is φ = 436703616.

The previous prime is 1429818857. The next prime is 1429818893. The reversal of 1429818858 is 8588189241.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1429818853) 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 31 ways as a sum of consecutive naturals, for example, 88741 + ... + 103607.

It is an arithmetic number, because the mean of its divisors is an integer number (53859330).

Almost surely, 21429818858 is an apocalyptic number.

1429818858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429818858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723498560).

1429818858 is an abundant number, since it is smaller than the sum of its proper divisors (2017178262).

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

1429818858 is a wasteful number, since it uses less digits than its factorization.

1429818858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15028 (or 15022 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The square root of 1429818858 is about 37812.9456403492. The cubic root of 1429818858 is about 1126.5755985159.

The spelling of 1429818858 in words is "one billion, four hundred twenty-nine million, eight hundred eighteen thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 137 234 274 351 411 702 822 1233 1781 2466 3562 3699 5343 7398 10686 14867 16029 29734 32058 44601 48087 89202 96174 133803 193271 267606 386542 401409 579813 802818 1159626 1739439 2036779 3478878 4073558 5218317 6110337 10436634 12220674 18331011 26478127 36662022 52956254 54993033 79434381 109986066 158868762 238303143 476606286 714909429 1429818858