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40297936 = 2471929653
BaseRepresentation
bin1001100110111…
…0010111010000
32210211100101011
42121232113100
540304013221
63555420304
7666345460
oct231562720
983740334
1040297936
1120824488
12115b4694
13846c343
1454cdba0
1538101e1
hex266e5d0

40297936 has 80 divisors (see below), whose sum is σ = 97315200. Its totient is φ = 15773184.

The previous prime is 40297927. The next prime is 40297949. The reversal of 40297936 is 63979204.

40297936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61386 + ... + 62038.

It is an arithmetic number, because the mean of its divisors is an integer number (1216440).

Almost surely, 240297936 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 40297936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657600).

40297936 is an abundant number, since it is smaller than the sum of its proper divisors (57017264).

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

40297936 is a wasteful number, since it uses less digits than its factorization.

40297936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 40297936 is about 6348.0655321129. The cubic root of 40297936 is about 342.8421955124.

The spelling of 40297936 in words is "forty million, two hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 266 304 406 464 532 551 653 812 1064 1102 1306 1624 2128 2204 2612 3248 3857 4408 4571 5224 7714 8816 9142 10448 12407 15428 18284 18937 24814 30856 36568 37874 49628 61712 73136 75748 86849 99256 132559 151496 173698 198512 265118 302992 347396 359803 530236 694792 719606 1060472 1389584 1439212 2120944 2518621 2878424 5037242 5756848 10074484 20148968 40297936