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10029292 = 2271359467
BaseRepresentation
bin100110010000…
…100011101100
3200212112121021
4212100203230
510031414132
6554543524
7151150630
oct46204354
920775537
1010029292
115730179
123437ba4
132101cc0
141490dc0
15d31997
hex9908ec

10029292 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 3892032.

The previous prime is 10029281. The next prime is 10029301. The reversal of 10029292 is 29292001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21243 + ... + 21709.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 210029292 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 10029292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

10029292 is an abundant number, since it is smaller than the sum of its proper divisors (11985428).

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

10029292 is a wasteful number, since it uses less digits than its factorization.

10029292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 10029292 is about 3166.9057453609. The cubic root of 10029292 is about 215.6536229454.

It can be divided in two parts, 100 and 29292, that added together give a palindrome (29392).

The spelling of 10029292 in words is "ten million, twenty-nine thousand, two hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 236 364 413 467 767 826 934 1534 1652 1868 3068 3269 5369 6071 6538 10738 12142 13076 21476 24284 27553 42497 55106 84994 110212 169988 192871 358189 385742 716378 771484 1432756 2507323 5014646 10029292