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80029638 = 23213714817
BaseRepresentation
bin1001100010100…
…10011111000110
312120120221000200
410301102133012
5130441422023
611535151330
71661145363
oct461223706
9176527020
1080029638
11411a14a7
1222975546
1313770a20
14a8b346a
15705c743
hex4c527c6

80029638 has 48 divisors (see below), whose sum is σ = 189405216. Its totient is φ = 24272640.

The previous prime is 80029637. The next prime is 80029639. The reversal of 80029638 is 83692008.

It is an interprime number because it is at equal distance from previous prime (80029637) and next prime (80029639).

It is a super-2 number, since 2×800296382 = 12809485916822088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80029633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14206 + ... + 19022.

It is an arithmetic number, because the mean of its divisors is an integer number (3945942).

Almost surely, 280029638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80029638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94702608).

80029638 is an abundant number, since it is smaller than the sum of its proper divisors (109375578).

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

80029638 is a wasteful number, since it uses less digits than its factorization.

80029638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80029638 is about 8945.9285711434. The cubic root of 80029638 is about 430.9401423827.

The spelling of 80029638 in words is "eighty million, twenty-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 4817 5538 8307 9634 14451 16614 28902 43353 62621 86706 125242 187863 342007 375726 563589 684014 1026021 1127178 2052042 3078063 4446091 6156126 8892182 13338273 26676546 40014819 80029638