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40481216 = 2617291283
BaseRepresentation
bin1001101001101…
…1000111000000
32211011122210022
42122123013000
540330344331
64003353012
71001041016
oct232330700
984148708
1040481216
112093a156
1211682768
1385048a9
14553a8b6
15384967b
hex269b1c0

40481216 has 56 divisors (see below), whose sum is σ = 88056720. Its totient is φ = 18378752.

The previous prime is 40481209. The next prime is 40481239. The reversal of 40481216 is 61218404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30911 + ... + 32193.

Almost surely, 240481216 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 40481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44028360).

40481216 is an abundant number, since it is smaller than the sum of its proper divisors (47575504).

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

40481216 is a wasteful number, since it uses less digits than its factorization.

40481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 40481216 is about 6362.4850490983. The cubic root of 40481216 is about 343.3611724266.

The spelling of 40481216 in words is "forty million, four hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1283 1856 1972 2566 3944 5132 7888 10264 15776 20528 21811 31552 37207 41056 43622 74414 82112 87244 148828 174488 297656 348976 595312 632519 697952 1190624 1265038 1395904 2381248 2530076 5060152 10120304 20240608 40481216