Search a number
-
+
93124480 = 275227641
BaseRepresentation
bin1011000110011…
…11011110000000
320111020012202211
411203033132000
5142314440410
613123551504
72210354641
oct543173600
9214205684
1093124480
1148625889
122722b594
13163a7157
14c5216c8
15829768a
hex58cf780

93124480 has 64 divisors (see below), whose sum is σ = 223955280. Its totient is φ = 37027840.

The previous prime is 93124433. The next prime is 93124501. The reversal of 93124480 is 8442139.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144960 + ... + 145600.

Almost surely, 293124480 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 93124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111977640).

93124480 is an abundant number, since it is smaller than the sum of its proper divisors (130830800).

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

93124480 is a wasteful number, since it uses less digits than its factorization.

93124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 93124480 is about 9650.1025901283. The cubic root of 93124480 is about 453.2675413941.

The spelling of 93124480 in words is "ninety-three million, one hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 320 454 640 641 908 1135 1282 1816 2270 2564 3205 3632 4540 5128 6410 7264 9080 10256 12820 14528 18160 20512 25640 29056 36320 41024 51280 72640 82048 102560 145280 145507 205120 291014 410240 582028 727535 1164056 1455070 2328112 2910140 4656224 5820280 9312448 11640560 18624896 23281120 46562240 93124480