Search a number
-
+
93411940 = 22517416701
BaseRepresentation
bin1011001000101…
…01101001100100
320111202211002111
411210111221210
5142403140230
613134050404
72212663006
oct544255144
9214684074
1093411940
1148801856
1227349a04
1316477c4b
14c598376
15830292a
hex5915a64

93411940 has 48 divisors (see below), whose sum is σ = 212801904. Its totient is φ = 34304000.

The previous prime is 93411911. The next prime is 93412001. The reversal of 93411940 is 4911439.

It can be written as a sum of positive squares in 8 ways, for example, as 5914624 + 87497316 = 2432^2 + 9354^2 .

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, 10590 + ... + 17290.

It is an arithmetic number, because the mean of its divisors is an integer number (4433373).

Almost surely, 293411940 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 93411940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106400952).

93411940 is an abundant number, since it is smaller than the sum of its proper divisors (119389964).

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

93411940 is a wasteful number, since it uses less digits than its factorization.

93411940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 93411940 is about 9664.9852560674. The cubic root of 93411940 is about 453.7334498538.

The spelling of 93411940 in words is "ninety-three million, four hundred eleven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6701 6970 13402 13940 26804 33505 67010 113917 134020 227834 274741 455668 549482 569585 1098964 1139170 1373705 2278340 2747410 4670597 5494820 9341194 18682388 23352985 46705970 93411940