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71639744 = 26113292
BaseRepresentation
bin1000100010100…
…10001011000000
311222210200020212
410101102023000
5121314432434
611035253252
71526633141
oct421221300
9158720225
1071639744
1137491000
121bbaa228
1311ac3ca7
14972bac8
1564518ce
hex44522c0

71639744 has 84 divisors (see below), whose sum is σ = 161943288. Its totient is φ = 31440640.

The previous prime is 71639731. The next prime is 71639759. The reversal of 71639744 is 44793617.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (127008) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2470322 + ... + 2470350.

Almost surely, 271639744 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 71639744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80971644).

71639744 is an abundant number, since it is smaller than the sum of its proper divisors (90303544).

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

71639744 is an equidigital number, since it uses as much as digits as its factorization.

71639744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 42 counting only the distinct ones).

The product of its digits is 127008, while the sum is 41.

The square root of 71639744 is about 8464.0264649870. The cubic root of 71639744 is about 415.3217498053.

The spelling of 71639744 in words is "seventy-one million, six hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 176 232 242 319 352 464 484 638 704 841 928 968 1276 1331 1682 1856 1936 2552 2662 3364 3509 3872 5104 5324 6728 7018 7744 9251 10208 10648 13456 14036 18502 20416 21296 26912 28072 37004 38599 42592 53824 56144 74008 77198 85184 101761 112288 148016 154396 203522 224576 296032 308792 407044 592064 617584 814088 1119371 1235168 1628176 2238742 2470336 3256352 4477484 6512704 8954968 17909936 35819872 71639744