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21929628 = 2237713677
BaseRepresentation
bin101001110100…
…1111010011100
31112021010210110
41103221322130
521103222003
62102010020
7354253530
oct123517234
945233713
1021929628
1111419066
127416910
13470a816
142cabbc0
151dd2a03
hex14e9e9c

21929628 has 48 divisors (see below), whose sum is σ = 59318784. Its totient is φ = 6175680.

The previous prime is 21929623. The next prime is 21929639. The reversal of 21929628 is 82692912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21929623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4126 + ... + 7802.

It is an arithmetic number, because the mean of its divisors is an integer number (1235808).

Almost surely, 221929628 is an apocalyptic number.

21929628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21929628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659392).

21929628 is an abundant number, since it is smaller than the sum of its proper divisors (37389156).

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

21929628 is a wasteful number, since it uses less digits than its factorization.

21929628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3760 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 21929628 is about 4682.9080708466. The cubic root of 21929628 is about 279.9048486211.

It can be divided in two parts, 2 and 1929628, that added together give a triangular number (1929630 = T1964).

The spelling of 21929628 in words is "twenty-one million, nine hundred twenty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 3677 5964 7354 11031 14708 22062 25739 44124 51478 77217 102956 154434 261067 308868 522134 783201 1044268 1566402 1827469 3132804 3654938 5482407 7309876 10964814 21929628