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83342056 = 23719293773
BaseRepresentation
bin1001111011110…
…11001011101000
312210211012210211
410331323023220
5132313421211
612134150504
72031252520
oct475731350
9183735724
1083342056
1143054136
1223ab2434
1314360635
14b0d6680
1574b3e21
hex4f7b2e8

83342056 has 128 divisors (see below), whose sum is σ = 202464000. Its totient is φ = 31352832.

The previous prime is 83341997. The next prime is 83342057. The reversal of 83342056 is 65024338.

It is not an unprimeable number, because it can be changed into a prime (83342057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141636 + ... + 1141708.

It is an arithmetic number, because the mean of its divisors is an integer number (1581750).

Almost surely, 283342056 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 83342056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101232000).

83342056 is an abundant number, since it is smaller than the sum of its proper divisors (119121944).

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

83342056 is a wasteful number, since it uses less digits than its factorization.

83342056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 83342056 is about 9129.1870393809. The cubic root of 83342056 is about 436.8054717389.

The spelling of 83342056 in words is "eighty-three million, three hundred forty-two thousand, fifty-six".

Divisors: 1 2 4 7 8 14 19 28 29 37 38 56 58 73 74 76 116 133 146 148 152 203 232 259 266 292 296 406 511 518 532 551 584 703 812 1022 1036 1064 1073 1102 1387 1406 1624 2044 2072 2117 2146 2204 2701 2774 2812 3857 4088 4234 4292 4408 4921 5402 5548 5624 7511 7714 8468 8584 9709 9842 10804 11096 14819 15022 15428 16936 18907 19418 19684 20387 21608 29638 30044 30856 37814 38836 39368 40223 40774 51319 59276 60088 75628 77672 78329 80446 81548 102638 118552 142709 151256 156658 160892 163096 205276 281561 285418 313316 321784 359233 410552 548303 563122 570836 626632 718466 1096606 1126244 1141672 1436932 1488251 2193212 2252488 2873864 2976502 4386424 5953004 10417757 11906008 20835514 41671028 83342056