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82237376 = 2613971019
BaseRepresentation
bin1001110011011…
…01011111000000
312201202002110202
410321231133000
5132023044001
612054344332
72016002054
oct471553700
9181662422
1082237376
114246a181
122365b0a8
1314064890
14acc9c64
15734696b
hex4e6d7c0

82237376 has 56 divisors (see below), whose sum is σ = 177728880. Its totient is φ = 37527552.

The previous prime is 82237373. The next prime is 82237387. The reversal of 82237376 is 67373228.

It is a super-2 number, since 2×822373762 = 13525972022730752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82237373) 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, 80195 + ... + 81213.

It is an arithmetic number, because the mean of its divisors is an integer number (3173730).

Almost surely, 282237376 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 82237376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88864440).

82237376 is an abundant number, since it is smaller than the sum of its proper divisors (95491504).

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

82237376 is a wasteful number, since it uses less digits than its factorization.

82237376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1131 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 82237376 is about 9068.4825632517. The cubic root of 82237376 is about 434.8669624436.

The spelling of 82237376 in words is "eighty-two million, two hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 388 416 776 832 1019 1261 1552 2038 2522 3104 4076 5044 6208 8152 10088 13247 16304 20176 26494 32608 40352 52988 65216 80704 98843 105976 197686 211952 395372 423904 790744 847808 1284959 1581488 2569918 3162976 5139836 6325952 10279672 20559344 41118688 82237376