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40479300 = 223252411097
BaseRepresentation
bin1001101001101…
…0101001000100
32211011120011100
42122122221010
540330314200
64003340100
71001032311
oct232325104
984146140
1040479300
1120938774
1211681630
138503a64
145539d08
153848d00
hex269aa44

40479300 has 108 divisors (see below), whose sum is σ = 130093236. Its totient is φ = 10521600.

The previous prime is 40479293. The next prime is 40479319. The reversal of 40479300 is 397404.

It can be written as a sum of positive squares in 6 ways, for example, as 10536516 + 29942784 = 3246^2 + 5472^2 .

It is an unprimeable number.

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, 36352 + ... + 37448.

It is an arithmetic number, because the mean of its divisors is an integer number (1204567).

Almost surely, 240479300 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 40479300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65046618).

40479300 is an abundant number, since it is smaller than the sum of its proper divisors (89613936).

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

40479300 is a wasteful number, since it uses less digits than its factorization.

40479300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40479300 is about 6362.3344772182. The cubic root of 40479300 is about 343.3557551784.

The spelling of 40479300 in words is "forty million, four hundred seventy-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1097 1230 1476 1845 2050 2194 2460 3075 3291 3690 4100 4388 5485 6150 6582 7380 9225 9873 10970 12300 13164 16455 18450 19746 21940 27425 32910 36900 39492 44977 49365 54850 65820 82275 89954 98730 109700 134931 164550 179908 197460 224885 246825 269862 329100 404793 449770 493650 539724 674655 809586 899540 987300 1124425 1349310 1619172 2023965 2248850 2698620 3373275 4047930 4497700 6746550 8095860 10119825 13493100 20239650 40479300