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1041326816 = 2537979067
BaseRepresentation
bin111110000100010…
…110001011100000
32200120102212211212
4332010112023200
54113034424231
6251155125252
734543063145
oct7604261340
92616385755
101041326816
11494890282
122508a3828
1313797991a
149c4283cc
156164642b
hex3e1162e0

1041326816 has 48 divisors (see below), whose sum is σ = 2127461616. Its totient is φ = 501313536.

The previous prime is 1041326801. The next prime is 1041326833. The reversal of 1041326816 is 6186231401.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 110315 + ... + 119381.

It is an arithmetic number, because the mean of its divisors is an integer number (44322117).

Almost surely, 21041326816 is an apocalyptic number.

1041326816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041326816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063730808).

1041326816 is an abundant number, since it is smaller than the sum of its proper divisors (1086134800).

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

1041326816 is an equidigital number, since it uses as much as digits as its factorization.

1041326816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1041326816 is about 32269.5958450056. The cubic root of 1041326816 is about 1013.5900784495.

The spelling of 1041326816 in words is "one billion, forty-one million, three hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 97 148 194 296 388 592 776 1184 1552 3104 3589 7178 9067 14356 18134 28712 36268 57424 72536 114848 145072 290144 335479 670958 879499 1341916 1758998 2683832 3517996 5367664 7035992 10735328 14071984 28143968 32541463 65082926 130165852 260331704 520663408 1041326816