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65442104 = 23713241373
BaseRepresentation
bin1111100110100…
…1000100111000
311120010210200122
43321221010320
5113223121404
610254352412
71423151210
oct371510470
9146123618
1065442104
1133a38692
1219abb708
1310734050
148997240
155b2a3be
hex3e69138

65442104 has 64 divisors (see below), whose sum is σ = 152053440. Its totient is φ = 25712640.

The previous prime is 65442101. The next prime is 65442119. The reversal of 65442104 is 40124456.

65442104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175262 + ... + 175634.

It is an arithmetic number, because the mean of its divisors is an integer number (2375835).

Almost surely, 265442104 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 65442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026720).

65442104 is an abundant number, since it is smaller than the sum of its proper divisors (86611336).

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

65442104 is a wasteful number, since it uses less digits than its factorization.

65442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 65442104 is about 8089.6294105478. The cubic root of 65442104 is about 402.9820958454.

The spelling of 65442104 in words is "sixty-five million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 241 364 373 482 728 746 964 1492 1687 1928 2611 2984 3133 3374 4849 5222 6266 6748 9698 10444 12532 13496 19396 20888 21931 25064 33943 38792 43862 67886 87724 89893 135772 175448 179786 271544 359572 629251 719144 1168609 1258502 2337218 2517004 4674436 5034008 8180263 9348872 16360526 32721052 65442104