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82022424 = 23311973203
BaseRepresentation
bin1001110001110…
…01000000011000
312201100011121120
410320321000120
5131444204144
612050005240
72014115301
oct470710030
9181304546
1082022424
1142332730
1223576820
1313cbaaa3
14ac717a8
157302e19
hex4e39018

82022424 has 64 divisors (see below), whose sum is σ = 226074240. Its totient is φ = 24591360.

The previous prime is 82022419. The next prime is 82022431. The reversal of 82022424 is 42422028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 82022394 and 82022403.

It is a congruent number.

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, 24007 + ... + 27209.

It is an arithmetic number, because the mean of its divisors is an integer number (3532410).

Almost surely, 282022424 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 82022424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113037120).

82022424 is an abundant number, since it is smaller than the sum of its proper divisors (144051816).

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

82022424 is a wasteful number, since it uses less digits than its factorization.

82022424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 82022424 is about 9056.6232117716. The cubic root of 82022424 is about 434.4877468589.

The spelling of 82022424 in words is "eighty-two million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 3203 4268 6402 6406 8536 9609 12804 12812 19218 25608 25624 35233 38436 70466 76872 105699 140932 211398 281864 310691 422796 621382 845592 932073 1242764 1864146 2485528 3417601 3728292 6835202 7456584 10252803 13670404 20505606 27340808 41011212 82022424