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40313472 = 273277379
BaseRepresentation
bin1001100111001…
…0001010000000
32210212010200120
42121302022000
540310012342
64000020240
7666441663
oct231621200
983763616
1040313472
1120835121
1211601680
138476434
1454d56da
153814aec
hex2672280

40313472 has 64 divisors (see below), whose sum is σ = 107752800. Its totient is φ = 13353984.

The previous prime is 40313437. The next prime is 40313501. The reversal of 40313472 is 27431304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106179 + ... + 106557.

Almost surely, 240313472 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 40313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53876400).

40313472 is an abundant number, since it is smaller than the sum of its proper divisors (67439328).

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

40313472 is a wasteful number, since it uses less digits than its factorization.

40313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 40313472 is about 6349.2890940640. The cubic root of 40313472 is about 342.8862483228.

Adding to 40313472 its reverse (27431304), we get a palindrome (67744776).

It can be divided in two parts, 4031 and 3472, that added together give a triangular number (7503 = T122).

The spelling of 40313472 in words is "forty million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 379 384 554 758 831 1108 1137 1516 1662 2216 2274 3032 3324 4432 4548 6064 6648 8864 9096 12128 13296 17728 18192 24256 26592 35456 36384 48512 53184 72768 104983 106368 145536 209966 314949 419932 629898 839864 1259796 1679728 2519592 3359456 5039184 6718912 10078368 13437824 20156736 40313472