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83484672 = 21334379
BaseRepresentation
bin1001111100111…
…10000000000000
312211002110102220
410332132000000
5132333002142
612141211040
72032415355
oct476360000
9184073386
1083484672
11431412a7
1223b60a80
13143b051b
14b13262c
1574e12ec
hex4f9e000

83484672 has 112 divisors (see below), whose sum is σ = 230672640. Its totient is φ = 26836992.

The previous prime is 83484647. The next prime is 83484677. The reversal of 83484672 is 27648438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83484677) 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, 1056729 + ... + 1056807.

Almost surely, 283484672 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 83484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115336320).

83484672 is an abundant number, since it is smaller than the sum of its proper divisors (147187968).

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

83484672 is an equidigital number, since it uses as much as digits as its factorization.

83484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 83484672 is about 9136.9946919105. The cubic root of 83484672 is about 437.0544854713.

The spelling of 83484672 in words is "eighty-three million, four hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 79 86 96 128 129 158 172 192 237 256 258 316 344 384 474 512 516 632 688 768 948 1024 1032 1264 1376 1536 1896 2048 2064 2528 2752 3072 3397 3792 4096 4128 5056 5504 6144 6794 7584 8192 8256 10112 10191 11008 12288 13588 15168 16512 20224 20382 22016 24576 27176 30336 33024 40448 40764 44032 54352 60672 66048 80896 81528 88064 108704 121344 132096 161792 163056 176128 217408 242688 264192 323584 326112 352256 434816 485376 528384 647168 652224 869632 970752 1056768 1304448 1739264 1941504 2608896 3478528 5217792 6957056 10435584 13914112 20871168 27828224 41742336 83484672