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83275776 = 21234251
BaseRepresentation
bin1001111011010…
…11000000000000
312210200211220000
410331223000000
5132304311101
612132520000
72030555343
oct475530000
9183624800
1083275776
1143009361
1223a80000
131433940c
14b0ba45a
15749e486
hex4f6b000

83275776 has 130 divisors (see below), whose sum is σ = 249759972. Its totient is φ = 27648000.

The previous prime is 83275771. The next prime is 83275781. The reversal of 83275776 is 67757238.

It is an interprime number because it is at equal distance from previous prime (83275771) and next prime (83275781).

It is not an unprimeable number, because it can be changed into a prime (83275771) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331651 + ... + 331901.

Almost surely, 283275776 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 83275776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124879986).

83275776 is an abundant number, since it is smaller than the sum of its proper divisors (166484196).

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

83275776 is an equidigital number, since it uses as much as digits as its factorization.

83275776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 83275776 is about 9125.5562022268. The cubic root of 83275776 is about 436.6896472830.

The spelling of 83275776 in words is "eighty-three million, two hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 251 256 288 324 384 432 502 512 576 648 753 768 864 1004 1024 1152 1296 1506 1536 1728 2008 2048 2259 2304 2592 3012 3072 3456 4016 4096 4518 4608 5184 6024 6144 6777 6912 8032 9036 9216 10368 12048 12288 13554 13824 16064 18072 18432 20331 20736 24096 27108 27648 32128 36144 36864 40662 41472 48192 54216 55296 64256 72288 81324 82944 96384 108432 110592 128512 144576 162648 165888 192768 216864 257024 289152 325296 331776 385536 433728 514048 578304 650592 771072 867456 1028096 1156608 1301184 1542144 1734912 2313216 2602368 3084288 3469824 4626432 5204736 6939648 9252864 10409472 13879296 20818944 27758592 41637888 83275776