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83914350 = 235213231871
BaseRepresentation
bin1010000000001…
…10111001101110
312211220021211220
411000012321232
5132440224400
612154324210
72036155152
oct500067156
9184807756
1083914350
1143405103
1224129666
1314500c80
14b205062
1575787a0
hex5006e6e

83914350 has 96 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 19747200.

The previous prime is 83914339. The next prime is 83914367. The reversal of 83914350 is 5341938.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43915 + ... + 45785.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 283914350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83914350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

83914350 is an abundant number, since it is smaller than the sum of its proper divisors (150070674).

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

83914350 is a wasteful number, since it uses less digits than its factorization.

83914350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83914350 is about 9160.4776076360. The cubic root of 83914350 is about 437.8030118547.

The spelling of 83914350 in words is "eighty-three million, nine hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 69 75 78 115 130 138 150 195 230 299 325 345 390 575 598 650 690 897 975 1150 1495 1725 1794 1871 1950 2990 3450 3742 4485 5613 7475 8970 9355 11226 14950 18710 22425 24323 28065 43033 44850 46775 48646 56130 72969 86066 93550 121615 129099 140325 145938 215165 243230 258198 280650 364845 430330 559429 608075 645495 729690 1075825 1118858 1216150 1290990 1678287 1824225 2151650 2797145 3227475 3356574 3648450 5594290 6454950 8391435 13985725 16782870 27971450 41957175 83914350