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1082537984 = 21111291657
BaseRepresentation
bin100000010000110…
…0011100000000000
32210102222121221102
41000201203200000
54204112203414
6255230313532
735553264263
oct10041434000
92712877842
101082537984
115060788a0
122626588a8
13143378828
14a3ab4cda
1565086ede
hex40863800

1082537984 has 96 divisors (see below), whose sum is σ = 2444223600. Its totient is φ = 474808320.

The previous prime is 1082537983. The next prime is 1082537993. The reversal of 1082537984 is 4897352801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082537983) 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, 652484 + ... + 654140.

Almost surely, 21082537984 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 1082537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222111800).

1082537984 is an abundant number, since it is smaller than the sum of its proper divisors (1361685616).

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

1082537984 is a wasteful number, since it uses less digits than its factorization.

1082537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 1082537984 is about 32901.9449881006. The cubic root of 1082537984 is about 1026.7886229068.

The spelling of 1082537984 in words is "one billion, eighty-two million, five hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1657 1856 2048 2552 2816 3314 3712 5104 5632 6628 7424 10208 11264 13256 14848 18227 20416 22528 26512 29696 36454 40832 48053 53024 59392 72908 81664 96106 106048 145816 163328 192212 212096 291632 326656 384424 424192 528583 583264 653312 768848 848384 1057166 1166528 1537696 1696768 2114332 2333056 3075392 3393536 4228664 4666112 6150784 8457328 9332224 12301568 16914656 18664448 24603136 33829312 37328896 49206272 67658624 98412544 135317248 270634496 541268992 1082537984