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1041441632 = 25711715953
BaseRepresentation
bin111110000100110…
…010001101100000
32200120122201100022
4332010302031200
54113102113012
6251201413012
734544051660
oct7604621540
92616581308
101041441632
11494959570
1225093a168
131379b9c6a
149c4581a0
156166a472
hex3e132360

1041441632 has 96 divisors (see below), whose sum is σ = 2592705024. Its totient is φ = 399974400.

The previous prime is 1041441631. The next prime is 1041441659. The reversal of 1041441632 is 2361441401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041441631) by changing a digit.

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, 171968 + ... + 177920.

It is an arithmetic number, because the mean of its divisors is an integer number (27007344).

Almost surely, 21041441632 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 1041441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296352512).

1041441632 is an abundant number, since it is smaller than the sum of its proper divisors (1551263392).

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

1041441632 is a wasteful number, since it uses less digits than its factorization.

1041441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1041441632 is about 32271.3748080245. The cubic root of 1041441632 is about 1013.6273296690.

The spelling of 1041441632 in words is "one billion, forty-one million, four hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 71 77 88 112 142 154 176 224 284 308 352 497 568 616 781 994 1136 1232 1562 1988 2272 2464 3124 3976 5467 5953 6248 7952 10934 11906 12496 15904 21868 23812 24992 41671 43736 47624 65483 83342 87472 95248 130966 166684 174944 190496 261932 333368 422663 458381 523864 666736 845326 916762 1047728 1333472 1690652 1833524 2095456 2958641 3381304 3667048 4649293 5917282 6762608 7334096 9298586 11834564 13525216 14668192 18597172 23669128 32545051 37194344 47338256 65090102 74388688 94676512 130180204 148777376 260360408 520720816 1041441632