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28345248 = 253353619
BaseRepresentation
bin110110000100…
…0001110100000
31222100002101000
41230020032200
524224021443
62451312000
7462634131
oct154101640
958302330
1028345248
1115000228
1295ab600
135b45a49
143a9bc88
15274d8d3
hex1b083a0

28345248 has 96 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 9255168.

The previous prime is 28345241. The next prime is 28345327. The reversal of 28345248 is 84254382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28345241) 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, 45483 + ... + 46101.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 228345248 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 28345248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

28345248 is an abundant number, since it is smaller than the sum of its proper divisors (56024352).

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

28345248 is a wasteful number, since it uses less digits than its factorization.

28345248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28345248 is about 5324.0255446419. The cubic root of 28345248 is about 304.9018693535.

The spelling of 28345248 in words is "twenty-eight million, three hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 619 636 848 864 954 1238 1272 1431 1696 1857 1908 2476 2544 2862 3714 3816 4952 5088 5571 5724 7428 7632 9904 11142 11448 14856 15264 16713 19808 22284 22896 29712 32807 33426 44568 45792 59424 65614 66852 89136 98421 131228 133704 178272 196842 262456 267408 295263 393684 524912 534816 590526 787368 885789 1049824 1181052 1574736 1771578 2362104 3149472 3543156 4724208 7086312 9448416 14172624 28345248