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40378050 = 23252531693
BaseRepresentation
bin1001101000000…
…1111011000010
32210222102021100
42122001323002
540314044200
64001235230
71000131156
oct232017302
983872240
1040378050
1120879699
1211632b16
13849994b
145511066
153828d00
hex2681ec2

40378050 has 72 divisors (see below), whose sum is σ = 110594484. Its totient is φ = 10558080.

The previous prime is 40378049. The next prime is 40378057. The reversal of 40378050 is 5087304.

It can be written as a sum of positive squares in 6 ways, for example, as 16670889 + 23707161 = 4083^2 + 4869^2 .

It is not an unprimeable number, because it can be changed into a prime (40378057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23004 + ... + 24696.

Almost surely, 240378050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40378050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55297242).

40378050 is an abundant number, since it is smaller than the sum of its proper divisors (70216434).

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

40378050 is a wasteful number, since it uses less digits than its factorization.

40378050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40378050 is about 6354.3725103270. The cubic root of 40378050 is about 343.0692400458.

The spelling of 40378050 in words is "forty million, three hundred seventy-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 1693 2385 2650 3386 3975 4770 5079 7950 8465 10158 11925 15237 16930 23850 25395 30474 42325 50790 76185 84650 89729 126975 152370 179458 253950 269187 380925 448645 538374 761850 807561 897290 1345935 1615122 2243225 2691870 4037805 4486450 6729675 8075610 13459350 20189025 40378050