Search a number
-
+
93280480 = 2551793257
BaseRepresentation
bin1011000111101…
…01100011100000
320111112010202121
411203311203200
5142334433410
613131154024
72211604516
oct543654340
9214463677
1093280480
1148722007
12272a5914
1316430167
14c5624b6
1582c89da
hex58f58e0

93280480 has 48 divisors (see below), whose sum is σ = 221674320. Its totient is φ = 37092352.

The previous prime is 93280471. The next prime is 93280489. The reversal of 93280480 is 8408239.

It is an interprime number because it is at equal distance from previous prime (93280471) and next prime (93280489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93280489) by changing a digit.

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, 27012 + ... + 30268.

It is an arithmetic number, because the mean of its divisors is an integer number (4618215).

Almost surely, 293280480 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 93280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110837160).

93280480 is an abundant number, since it is smaller than the sum of its proper divisors (128393840).

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

93280480 is a wasteful number, since it uses less digits than its factorization.

93280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 93280480 is about 9658.1820235487. The cubic root of 93280480 is about 453.5205013368.

The spelling of 93280480 in words is "ninety-three million, two hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3257 3580 5728 6514 7160 13028 14320 16285 26056 28640 32570 52112 65140 104224 130280 260560 521120 583003 1166006 2332012 2915015 4664024 5830030 9328048 11660060 18656096 23320120 46640240 93280480