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40400052 = 223711231901
BaseRepresentation
bin1001101000011…
…1010010110100
32211000112110020
42122013102310
540320300202
64001525140
71000252260
oct232072264
984015406
1040400052
1120894180
12116437b0
1384a6974
1455190a0
1538305bc
hex26874b4

40400052 has 96 divisors (see below), whose sum is σ = 122701824. Its totient is φ = 10032000.

The previous prime is 40400033. The next prime is 40400053. The reversal of 40400052 is 25000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20302 + ... + 22202.

It is an arithmetic number, because the mean of its divisors is an integer number (1278144).

Almost surely, 240400052 is an apocalyptic number.

40400052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61350912).

40400052 is an abundant number, since it is smaller than the sum of its proper divisors (82301772).

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

40400052 is a wasteful number, since it uses less digits than its factorization.

40400052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 40400052 is about 6356.1035233860. The cubic root of 40400052 is about 343.1315415424.

Adding to 40400052 its reverse (25000404), we get a palindrome (65400456).

The spelling of 40400052 in words is "forty million, four hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1901 1932 3036 3542 3802 5313 5703 7084 7604 10626 11406 13307 20911 21252 22812 26614 39921 41822 43723 53228 62733 79842 83644 87446 125466 131169 146377 159684 174892 250932 262338 292754 306061 439131 480953 524676 585508 612122 878262 918183 961906 1224244 1442859 1756524 1836366 1923812 2885718 3366671 3672732 5771436 6733342 10100013 13466684 20200026 40400052