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69852468 = 22374383233
BaseRepresentation
bin1000010100111…
…01110100110100
311212102212120110
410022131310310
5120340234333
610533103020
71505510340
oct412356464
9155385513
1069852468
1136480214
121b487a70
131161962a
1493c4620
1561ec063
hex429dd34

69852468 has 96 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 19176192.

The previous prime is 69852467. The next prime is 69852469. The reversal of 69852468 is 86425896.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (69852467) and next prime (69852469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69852467) 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 31 ways as a sum of consecutive naturals, for example, 299680 + ... + 299912.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 269852468 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 69852468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

69852468 is an abundant number, since it is smaller than the sum of its proper divisors (123877068).

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

69852468 is a wasteful number, since it uses less digits than its factorization.

69852468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 69852468 is about 8357.7788915477. The cubic root of 69852468 is about 411.8387923051.

It can be divided in two parts, 6985 and 2468, that added together give a triangular number (9453 = T137).

The spelling of 69852468 in words is "sixty-nine million, eight hundred fifty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 83 84 86 129 166 172 233 249 258 301 332 466 498 516 581 602 699 903 932 996 1162 1204 1398 1631 1743 1806 2324 2796 3262 3486 3569 3612 4893 6524 6972 7138 9786 10019 10707 14276 19339 19572 20038 21414 24983 30057 38678 40076 42828 49966 58017 60114 70133 74949 77356 99932 116034 120228 135373 140266 149898 210399 232068 270746 280532 299796 406119 420798 541492 812238 831577 841596 1624476 1663154 2494731 3326308 4989462 5821039 9978924 11642078 17463117 23284156 34926234 69852468