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40248096 = 2537101593
BaseRepresentation
bin1001100110001…
…0001100100000
32210201211000020
42121202030200
540300414341
63554353440
7666050250
oct231421440
983654006
1040248096
112079aa99
121158b880
138452755
1454b9960
153800566
hex2662320

40248096 has 96 divisors (see below), whose sum is σ = 122145408. Its totient is φ = 11366400.

The previous prime is 40248079. The next prime is 40248097. The reversal of 40248096 is 69084204.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (40248097) 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, 67576 + ... + 68168.

It is an arithmetic number, because the mean of its divisors is an integer number (1272348).

Almost surely, 240248096 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 40248096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61072704).

40248096 is an abundant number, since it is smaller than the sum of its proper divisors (81897312).

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

40248096 is a wasteful number, since it uses less digits than its factorization.

40248096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40248096 is about 6344.1387122288. The cubic root of 40248096 is about 342.7007961753.

The spelling of 40248096 in words is "forty million, two hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 593 606 672 707 808 1186 1212 1414 1616 1779 2121 2372 2424 2828 3232 3558 4151 4242 4744 4848 5656 7116 8302 8484 9488 9696 11312 12453 14232 16604 16968 18976 22624 24906 28464 33208 33936 49812 56928 59893 66416 67872 99624 119786 132832 179679 199248 239572 359358 398496 419251 479144 718716 838502 958288 1257753 1437432 1677004 1916576 2515506 2874864 3354008 5031012 5749728 6708016 10062024 13416032 20124048 40248096