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28586496 = 29337503
BaseRepresentation
bin110110100001…
…1001000000000
31222210100022010
41231003020000
524304231441
62500412520
7464660361
oct155031000
958710263
1028586496
1115155504
1296a7140
135bcb7b3
143b21b68
15279a116
hex1b43200

28586496 has 80 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 9252864.

The previous prime is 28586477. The next prime is 28586497. The reversal of 28586496 is 69468582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28586497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56581 + ... + 57083.

Almost surely, 228586496 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 28586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

28586496 is an abundant number, since it is smaller than the sum of its proper divisors (49783488).

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

28586496 is an equidigital number, since it uses as much as digits as its factorization.

28586496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

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

The square root of 28586496 is about 5346.6340813637. The cubic root of 28586496 is about 305.7644391553.

The spelling of 28586496 in words is "twenty-eight million, five hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 503 512 592 768 888 1006 1184 1509 1536 1776 2012 2368 3018 3552 4024 4736 6036 7104 8048 9472 12072 14208 16096 18611 18944 24144 28416 32192 37222 48288 55833 56832 64384 74444 96576 111666 128768 148888 193152 223332 257536 297776 386304 446664 595552 772608 893328 1191104 1786656 2382208 3573312 4764416 7146624 9528832 14293248 28586496