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40813300 = 22521123373
BaseRepresentation
bin1001101110110…
…0001011110100
32211210112022201
42123230023310
540422011200
64014434244
71003623133
oct233541364
984715281
1040813300
1121046700
1211802984
1385bcaa8
1455c591a
1538b2c6a
hex26ec2f4

40813300 has 54 divisors (see below), whose sum is σ = 97377014. Its totient is φ = 14836800.

The previous prime is 40813271. The next prime is 40813303. The reversal of 40813300 is 331804.

It can be written as a sum of positive squares in 3 ways, for example, as 12702096 + 28111204 = 3564^2 + 5302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40813303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10414 + ... + 13786.

Almost surely, 240813300 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 40813300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48688507).

40813300 is an abundant number, since it is smaller than the sum of its proper divisors (56563714).

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

40813300 is a wasteful number, since it uses less digits than its factorization.

40813300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 40813300 is about 6388.5287821219. The cubic root of 40813300 is about 344.2975274314.

It can be divided in two parts, 4081 and 3300, that added together give a triangular number (7381 = T121).

The spelling of 40813300 in words is "forty million, eight hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 3373 6050 6746 12100 13492 16865 33730 37103 67460 74206 84325 148412 168650 185515 337300 371030 408133 742060 816266 927575 1632532 1855150 2040665 3710300 4081330 8162660 10203325 20406650 40813300