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93442008 = 233112231399
BaseRepresentation
bin1011001000111…
…00111111011000
320111211100100010
411210130333120
5142410121013
613134441520
72213146452
oct544347730
9214740303
1093442008
1148822400
12273632a0
131648883a
14c5a52d2
15830b7c3
hex591cfd8

93442008 has 96 divisors (see below), whose sum is σ = 268128000. Its totient is φ = 27065280.

The previous prime is 93442003. The next prime is 93442009. The reversal of 93442008 is 80024439.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93442001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66093 + ... + 67491.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 293442008 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 93442008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064000).

93442008 is an abundant number, since it is smaller than the sum of its proper divisors (174685992).

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

93442008 is a wasteful number, since it uses less digits than its factorization.

93442008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 93442008 is about 9666.5406428567. The cubic root of 93442008 is about 453.7821281199.

Subtracting from 93442008 its reverse (80024439), we obtain a square (13417569 = 36632).

The spelling of 93442008 in words is "ninety-three million, four hundred forty-two thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 968 1012 1399 1452 1518 2024 2783 2798 2904 3036 4197 5566 5596 6072 8349 8394 11132 11192 15389 16698 16788 22264 30778 32177 33396 33576 46167 61556 64354 66792 92334 96531 123112 128708 169279 184668 193062 257416 338558 353947 369336 386124 507837 677116 707894 772248 1015674 1061841 1354232 1415788 2031348 2123682 2831576 3893417 4062696 4247364 7786834 8494728 11680251 15573668 23360502 31147336 46721004 93442008