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93674016 = 2533181599
BaseRepresentation
bin1011001010101…
…01101000100000
320112021010121000
411211111220200
5142440032031
613143432000
72215134042
oct545255040
9215233530
1093674016
1148970747
1227455600
131653a317
14c625a92
1583553e6
hex5955a20

93674016 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 31000320.

The previous prime is 93674011. The next prime is 93674027. The reversal of 93674016 is 61047639.

It is a tau number, because it is divible by the number of its divisors (96).

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 (93674011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156085 + ... + 156683.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 293674016 is an apocalyptic number.

93674016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

93674016 is an abundant number, since it is smaller than the sum of its proper divisors (181509984).

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

93674016 is a wasteful number, since it uses less digits than its factorization.

93674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93674016 is about 9678.5337732531. The cubic root of 93674016 is about 454.1573842878.

The spelling of 93674016 in words is "ninety-three million, six hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 181 216 288 362 432 543 599 724 864 1086 1198 1448 1629 1797 2172 2396 2896 3258 3594 4344 4792 4887 5391 5792 6516 7188 8688 9584 9774 10782 13032 14376 16173 17376 19168 19548 21564 26064 28752 32346 39096 43128 52128 57504 64692 78192 86256 108419 129384 156384 172512 216838 258768 325257 433676 517536 650514 867352 975771 1301028 1734704 1951542 2602056 2927313 3469408 3903084 5204112 5854626 7806168 10408224 11709252 15612336 23418504 31224672 46837008 93674016