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40400514 = 232711103283
BaseRepresentation
bin1001101000011…
…1011010000010
32211000120002100
42122013122002
540320304024
64001531230
71000253520
oct232073202
984016070
1040400514
1120894560
1211643b16
1384a6c3b
145519310
1538307c9
hex2687682

40400514 has 96 divisors (see below), whose sum is σ = 110582784. Its totient is φ = 10355040.

The previous prime is 40400513. The next prime is 40400519. The reversal of 40400514 is 41500404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400513) 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 47 ways as a sum of consecutive naturals, for example, 142617 + ... + 142899.

It is an arithmetic number, because the mean of its divisors is an integer number (1151904).

Almost surely, 240400514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55291392).

40400514 is an abundant number, since it is smaller than the sum of its proper divisors (70182270).

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

40400514 is a wasteful number, since it uses less digits than its factorization.

40400514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40400514 is about 6356.1398663025. The cubic root of 40400514 is about 343.1328495124.

Adding to 40400514 its reverse (41500404), we get a palindrome (81900918).

The spelling of 40400514 in words is "forty million, four hundred thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 103 126 154 198 206 231 283 309 462 566 618 693 721 849 927 1133 1386 1442 1698 1854 1981 2163 2266 2547 3113 3399 3962 4326 5094 5943 6226 6489 6798 7931 9339 10197 11886 12978 15862 17829 18678 20394 21791 23793 28017 29149 35658 43582 47586 56034 58298 65373 71379 87447 130746 142758 174894 196119 204043 262341 320639 392238 408086 524682 612129 641278 961917 1224258 1836387 1923834 2244473 2885751 3672774 4488946 5771502 6733419 13466838 20200257 40400514