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40253472 = 2532741487
BaseRepresentation
bin1001100110001…
…1100000100000
32210202002101100
42121203200200
540301102342
63554434400
7666102030
oct231434040
983662340
1040253472
11207a4036
1211592a00
13845502c
1454bb8c0
153801e4c
hex2663820

40253472 has 144 divisors (see below), whose sum is σ = 134289792. Its totient is φ = 11197440.

The previous prime is 40253453. The next prime is 40253483. The reversal of 40253472 is 27435204.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82413 + ... + 82899.

It is an arithmetic number, because the mean of its divisors is an integer number (932568).

Almost surely, 240253472 is an apocalyptic number.

40253472 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 40253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67144896).

40253472 is an abundant number, since it is smaller than the sum of its proper divisors (94036320).

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

40253472 is a wasteful number, since it uses less digits than its factorization.

40253472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40253472 is about 6344.5623962571. The cubic root of 40253472 is about 342.7160538532.

Adding to 40253472 its reverse (27435204), we get a palindrome (67688676).

The spelling of 40253472 in words is "forty million, two hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 487 492 504 574 656 672 738 861 974 984 1008 1148 1312 1461 1476 1722 1948 1968 2016 2296 2583 2922 2952 3409 3444 3896 3936 4383 4592 5166 5844 5904 6818 6888 7792 8766 9184 10227 10332 11688 11808 13636 13776 15584 17532 19967 20454 20664 23376 27272 27552 30681 35064 39934 40908 41328 46752 54544 59901 61362 70128 79868 81816 82656 109088 119802 122724 139769 140256 159736 163632 179703 239604 245448 279538 319472 327264 359406 419307 479208 490896 559076 638944 718812 838614 958416 981792 1118152 1257921 1437624 1677228 1916832 2236304 2515842 2875248 3354456 4472608 5031684 5750496 6708912 10063368 13417824 20126736 40253472