Search a number
-
+
93949224 = 233191791151
BaseRepresentation
bin1011001100110…
…00110100101000
320112210010002220
411212120310220
5143022333344
613153354040
72220361305
oct546306450
9215703086
1093949224
1149039496
1227568920
1316605675
14c6980ac
1583abc19
hex5998d28

93949224 has 64 divisors (see below), whose sum is σ = 248832000. Its totient is φ = 29476800.

The previous prime is 93949213. The next prime is 93949237. The reversal of 93949224 is 42294939.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81049 + ... + 82199.

It is an arithmetic number, because the mean of its divisors is an integer number (3888000).

Almost surely, 293949224 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 93949224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

93949224 is an abundant number, since it is smaller than the sum of its proper divisors (154882776).

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

93949224 is a wasteful number, since it uses less digits than its factorization.

93949224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1354 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 93949224 is about 9692.7407888584. The cubic root of 93949224 is about 454.6017107875.

The spelling of 93949224 in words is "ninety-three million, nine hundred forty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 179 228 358 456 537 716 1074 1151 1432 2148 2302 3401 3453 4296 4604 6802 6906 9208 10203 13604 13812 20406 21869 27208 27624 40812 43738 65607 81624 87476 131214 174952 206029 262428 412058 524856 618087 824116 1236174 1648232 2472348 3914551 4944696 7829102 11743653 15658204 23487306 31316408 46974612 93949224