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82237248 = 263347591
BaseRepresentation
bin1001110011011…
…01011101000000
312201202002022000
410321231131000
5132023042443
612054344000
72016001512
oct471553500
9181662260
1082237248
114246a075
122365b000
13140647c2
14acc9bb2
1573468d3
hex4e6d740

82237248 has 56 divisors (see below), whose sum is σ = 241767360. Its totient is φ = 27411840.

The previous prime is 82237247. The next prime is 82237283. The reversal of 82237248 is 84273228.

It is a super-2 number, since 2×822372482 = 13525929917227008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82237247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22068 + ... + 25523.

Almost surely, 282237248 is an apocalyptic number.

It is an amenable number.

82237248 is an abundant number, since it is smaller than the sum of its proper divisors (159530112).

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

82237248 is a wasteful number, since it uses less digits than its factorization.

82237248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47612 (or 47596 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 82237248 is about 9068.4755058389. The cubic root of 82237248 is about 434.8667368244.

The spelling of 82237248 in words is "eighty-two million, two hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 47591 95182 142773 190364 285546 380728 428319 571092 761456 856638 1142184 1284957 1522912 1713276 2284368 2569914 3045824 3426552 4568736 5139828 6853104 9137472 10279656 13706208 20559312 27412416 41118624 82237248