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1055763984 = 243118324091
BaseRepresentation
bin111110111011011…
…010111000010000
32201120121100220210
4332323122320100
54130233421414
6252432404120
735106563052
oct7673327020
92646540823
101055763984
114a1a51120
122556a6640
1313a963022
14a03058d2
1562a48e59
hex3eedae10

1055763984 has 80 divisors (see below), whose sum is σ = 3011307264. Its totient is φ = 316060800.

The previous prime is 1055763983. The next prime is 1055763997. The reversal of 1055763984 is 4893675501.

It is a super-2 number, since 2×10557639842 = 2229275179823104512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1055763983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31779 + ... + 55869.

Almost surely, 21055763984 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 1055763984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505653632).

1055763984 is an abundant number, since it is smaller than the sum of its proper divisors (1955543280).

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

1055763984 is a wasteful number, since it uses less digits than its factorization.

1055763984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196 (or 24190 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 1055763984 is about 32492.5219704473. The cubic root of 1055763984 is about 1018.2528027930.

The spelling of 1055763984 in words is "one billion, fifty-five million, seven hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 996 1328 1826 1992 2739 3652 3984 5478 7304 10956 14608 21912 24091 43824 48182 72273 96364 144546 192728 265001 289092 385456 530002 578184 795003 1060004 1156368 1590006 1999553 2120008 3180012 3999106 4240016 5998659 6360024 7998212 11997318 12720048 15996424 21995083 23994636 31992848 43990166 47989272 65985249 87980332 95978544 131970498 175960664 263940996 351921328 527881992 1055763984