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40133496 = 23313307419
BaseRepresentation
bin1001100100011…
…0001101111000
32210111222210210
42121012031320
540233232441
63552111120
7665062164
oct231061570
983458723
1040133496
1120721987
12115354a0
138412540
145489ca4
1537cb616
hex2646378

40133496 has 64 divisors (see below), whose sum is σ = 108662400. Its totient is φ = 12279168.

The previous prime is 40133449. The next prime is 40133497. The reversal of 40133496 is 69433104.

It is a super-2 number, since 2×401334962 = 3221395002364032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133497) 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, 95575 + ... + 95993.

It is an arithmetic number, because the mean of its divisors is an integer number (1697850).

Almost surely, 240133496 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 40133496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54331200).

40133496 is an abundant number, since it is smaller than the sum of its proper divisors (68528904).

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

40133496 is a wasteful number, since it uses less digits than its factorization.

40133496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 40133496 is about 6335.1003149121. The cubic root of 40133496 is about 342.3752251195.

The spelling of 40133496 in words is "forty million, one hundred thirty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 307 312 419 614 838 921 1228 1257 1676 1842 2456 2514 3352 3684 3991 5028 5447 7368 7982 10056 10894 11973 15964 16341 21788 23946 31928 32682 43576 47892 65364 95784 128633 130728 257266 385899 514532 771798 1029064 1543596 1672229 3087192 3344458 5016687 6688916 10033374 13377832 20066748 40133496