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41945952 = 2534110657
BaseRepresentation
bin1010000000000…
…0101101100000
32220221002000210
42200000231200
541214232302
64055014120
71016351256
oct240005540
986832023
1041945952
112174a684
121206a340
1388c84b9
1457dc5d6
153a3866c
hex2800b60

41945952 has 48 divisors (see below), whose sum is σ = 112804272. Its totient is φ = 13639680.

The previous prime is 41945947. The next prime is 41945957. The reversal of 41945952 is 25954914.

It is an interprime number because it is at equal distance from previous prime (41945947) and next prime (41945957).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41945952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41945957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1393 + ... + 9264.

It is an arithmetic number, because the mean of its divisors is an integer number (2350089).

Almost surely, 241945952 is an apocalyptic number.

It is an amenable number.

41945952 is an abundant number, since it is smaller than the sum of its proper divisors (70858320).

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

41945952 is a wasteful number, since it uses less digits than its factorization.

41945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10703 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 41945952 is about 6476.5694623002. The cubic root of 41945952 is about 347.4534954934.

The spelling of 41945952 in words is "forty-one million, nine hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10657 21314 31971 42628 63942 85256 127884 170512 255768 341024 436937 511536 873874 1023072 1310811 1747748 2621622 3495496 5243244 6990992 10486488 13981984 20972976 41945952