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94328064 = 28344549
BaseRepresentation
bin1011001111101…
…01010100000000
320120111100210000
411213311110000
5143121444224
613205440000
72223526635
oct547652400
9216440700
1094328064
1149278086
1227710000
1316708c2c
14c75618c
1584340c9
hex59f5500

94328064 has 90 divisors (see below), whose sum is σ = 281331050. Its totient is φ = 31435776.

The previous prime is 94328063. The next prime is 94328081. The reversal of 94328064 is 46082349.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 6718464 = 9360^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94328063) 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, 18462 + ... + 23010.

Almost surely, 294328064 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 94328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140665525).

94328064 is an abundant number, since it is smaller than the sum of its proper divisors (187002986).

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

94328064 is an equidigital number, since it uses as much as digits as its factorization.

94328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 94328064 is about 9712.2635878563. The cubic root of 94328064 is about 455.2119352403.

The spelling of 94328064 in words is "ninety-four million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4549 5184 6912 9098 10368 13647 18196 20736 27294 36392 40941 54588 72784 81882 109176 122823 145568 163764 218352 245646 291136 327528 368469 436704 491292 582272 655056 736938 873408 982584 1164544 1310112 1473876 1746816 1965168 2620224 2947752 3493632 3930336 5240448 5895504 7860672 10480896 11791008 15721344 23582016 31442688 47164032 94328064