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93616068 = 223721337331
BaseRepresentation
bin1011001010001…
…11011111000100
320112011012002210
411211013133010
5142431203233
613142303420
72214503100
oct545073704
9215135083
1093616068
1148931157
1227427b70
1316519b30
14c60c900
158343163
hex59477c4

93616068 has 144 divisors (see below), whose sum is σ = 281891904. Its totient is φ = 23950080.

The previous prime is 93616037. The next prime is 93616087. The reversal of 93616068 is 86061639.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282663 + ... + 282993.

Almost surely, 293616068 is an apocalyptic number.

93616068 is a gapful number since it is divisible by the number (98) 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 93616068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140945952).

93616068 is an abundant number, since it is smaller than the sum of its proper divisors (188275836).

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

93616068 is a wasteful number, since it uses less digits than its factorization.

93616068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 93616068 is about 9675.5396748709. The cubic root of 93616068 is about 454.0637156916.

The spelling of 93616068 in words is "ninety-three million, six hundred sixteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 156 182 196 222 259 273 294 331 364 444 481 518 546 588 637 662 777 962 993 1036 1092 1274 1324 1443 1554 1813 1911 1924 1986 2317 2548 2886 3108 3367 3626 3822 3972 4303 4634 5439 5772 6734 6951 7252 7644 8606 9268 10101 10878 12247 12909 13468 13902 16219 17212 20202 21756 23569 24494 25818 27804 30121 32438 36741 40404 47138 48657 48988 51636 60242 64876 70707 73482 85729 90363 94276 97314 120484 141414 146964 159211 171458 180726 194628 210847 257187 282828 318422 342916 361452 421694 477633 514374 600103 632541 636844 843388 955266 1028748 1114477 1200206 1265082 1800309 1910532 2228954 2400412 2530164 3343431 3600618 4457908 6686862 7201236 7801339 13373724 15602678 23404017 31205356 46808034 93616068