Search a number
-
+
29886402 = 23713127431
BaseRepresentation
bin111001000000…
…0011111000010
32002020101102210
41302000133002
530122331102
62544322550
7512013240
oct162003702
962211383
1029886402
1115963107
12a013456
136265380
143d7d790
15295536c
hex1c807c2

29886402 has 64 divisors (see below), whose sum is σ = 74317824. Its totient is φ = 7801920.

The previous prime is 29886397. The next prime is 29886403. The reversal of 29886402 is 20468892.

It is a super-3 number, since 3×298864023 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (29886403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69127 + ... + 69557.

It is an arithmetic number, because the mean of its divisors is an integer number (1161216).

Almost surely, 229886402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29886402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37158912).

29886402 is an abundant number, since it is smaller than the sum of its proper divisors (44431422).

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

29886402 is a wasteful number, since it uses less digits than its factorization.

29886402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583.

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 29886402 is about 5466.8457084502. The cubic root of 29886402 is about 310.3305596361.

The spelling of 29886402 in words is "twenty-nine million, eight hundred eighty-six thousand, four hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 127 182 254 273 381 431 546 762 862 889 1293 1651 1778 2586 2667 3017 3302 4953 5334 5603 6034 9051 9906 11206 11557 16809 18102 23114 33618 34671 39221 54737 69342 78442 109474 117663 164211 235326 328422 383159 711581 766318 1149477 1423162 2134743 2298954 4269486 4981067 9962134 14943201 29886402