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40249488 = 24337131173
BaseRepresentation
bin1001100110001…
…0100010010000
32210201212220210
42121202202100
540300440423
63554404120
7666054306
oct231424220
983655823
1040249488
11207a1044
1211590640
138453286
1454ba276
153800b93
hex2662890

40249488 has 80 divisors (see below), whose sum is σ = 108225216. Its totient is φ = 12879360.

The previous prime is 40249487. The next prime is 40249511. The reversal of 40249488 is 88494204.

It is not an unprimeable number, because it can be changed into a prime (40249483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232570 + ... + 232742.

Almost surely, 240249488 is an apocalyptic number.

40249488 is a gapful number since it is divisible by the number (48) 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 40249488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54112608).

40249488 is an abundant number, since it is smaller than the sum of its proper divisors (67975728).

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

40249488 is a wasteful number, since it uses less digits than its factorization.

40249488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 40249488 is about 6344.2484188436. The cubic root of 40249488 is about 342.7047469544.

The spelling of 40249488 in words is "forty million, two hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 131 148 173 222 262 296 346 393 444 519 524 592 692 786 888 1038 1048 1384 1572 1776 2076 2096 2768 3144 4152 4847 6288 6401 8304 9694 12802 14541 19203 19388 22663 25604 29082 38406 38776 45326 51208 58164 67989 76812 77552 90652 102416 116328 135978 153624 181304 232656 271956 307248 362608 543912 838531 1087824 1677062 2515593 3354124 5031186 6708248 10062372 13416496 20124744 40249488