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93005055 = 325111397149
BaseRepresentation
bin1011000101100…
…10010011111111
320111000010221200
411202302103333
5142302130210
613121230543
72206346523
oct542622377
9214003850
1093005055
1148554090
1227192453
13163649a0
14c4cdd83
1582720c0
hex58b24ff

93005055 has 96 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 40919040.

The previous prime is 93005023. The next prime is 93005071. The reversal of 93005055 is 55050039.

It is not a de Polignac number, because 93005055 - 25 = 93005023 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 624121 + ... + 624269.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 293005055 is an apocalyptic number.

93005055 is an abundant number, since it is smaller than the sum of its proper divisors (99623745).

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

93005055 is a wasteful number, since it uses less digits than its factorization.

93005055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 93005055 is about 9643.9128469724. The cubic root of 93005055 is about 453.0736982268.

The spelling of 93005055 in words is "ninety-three million, five thousand, fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 97 99 117 143 149 165 195 291 429 447 485 495 585 715 745 873 1067 1261 1287 1341 1455 1639 1937 2145 2235 3201 3783 4365 4917 5335 5811 6305 6435 6705 8195 9603 9685 11349 13871 14453 14751 16005 17433 18915 21307 24585 29055 41613 43359 48015 56745 63921 69355 72265 73755 87165 106535 124839 130077 158983 187889 191763 208065 216795 319605 476949 563667 624195 650385 794915 939445 958815 1430847 1691001 2066779 2384745 2818335 6200337 7154235 8455005 10333895 18601011 31001685 93005055