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40913824 = 257297269
BaseRepresentation
bin1001110000010…
…0101110100000
32211222122012211
42130010232200
540433220244
64020531504
71004522200
oct234045640
984878184
1040913824
1121105186
1211850b94
138626783
145610400
1538d2934
hex2704ba0

40913824 has 72 divisors (see below), whose sum is σ = 95017860. Its totient is φ = 17289216.

The previous prime is 40913813. The next prime is 40913833. The reversal of 40913824 is 42831904.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 3312400 = 6132^2 + 1820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151962 + ... + 152230.

Almost surely, 240913824 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 40913824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47508930).

40913824 is an abundant number, since it is smaller than the sum of its proper divisors (54104036).

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

40913824 is a wasteful number, since it uses less digits than its factorization.

40913824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 40913824 is about 6396.3914827034. The cubic root of 40913824 is about 344.5799663119.

The spelling of 40913824 in words is "forty million, nine hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 97 98 112 194 196 224 269 388 392 538 679 776 784 1076 1358 1552 1568 1883 2152 2716 3104 3766 4304 4753 5432 7532 8608 9506 10864 13181 15064 19012 21728 26093 26362 30128 38024 52186 52724 60256 76048 104372 105448 152096 182651 208744 210896 365302 417488 421792 730604 834976 1278557 1461208 2557114 2922416 5114228 5844832 10228456 20456912 40913824