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84727296 = 2936227
BaseRepresentation
bin1010000110011…
…01011000000000
312220102121000000
411003031120000
5133142233141
612224000000
72046112233
oct503153000
9186377000
1084727296
114390a965
1224460000
1314726cc4
14b37741a
1576895b6
hex50cd600

84727296 has 140 divisors (see below), whose sum is σ = 254935692. Its totient is φ = 28118016.

The previous prime is 84727277. The next prime is 84727301. The reversal of 84727296 is 69272748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373135 + ... + 373361.

Almost surely, 284727296 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 84727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127467846).

84727296 is an abundant number, since it is smaller than the sum of its proper divisors (170208396).

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

84727296 is an frugal number, since it uses more digits than its factorization.

84727296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 84727296 is about 9204.7431251502. The cubic root of 84727296 is about 439.2122544283.

The spelling of 84727296 in words is "eighty-four million, seven hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 227 243 256 288 324 384 432 454 486 512 576 648 681 729 768 864 908 972 1152 1296 1362 1458 1536 1728 1816 1944 2043 2304 2592 2724 2916 3456 3632 3888 4086 4608 5184 5448 5832 6129 6912 7264 7776 8172 10368 10896 11664 12258 13824 14528 15552 16344 18387 20736 21792 23328 24516 29056 31104 32688 36774 41472 43584 46656 49032 55161 58112 62208 65376 73548 87168 93312 98064 110322 116224 124416 130752 147096 165483 174336 186624 196128 220644 261504 294192 330966 348672 373248 392256 441288 523008 588384 661932 784512 882576 1046016 1176768 1323864 1569024 1765152 2353536 2647728 3138048 3530304 4707072 5295456 7060608 9414144 10590912 14121216 21181824 28242432 42363648 84727296