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982795152 = 243232930697
BaseRepresentation
bin111010100101000…
…100001110010000
32112111022011111110
4322211010032100
54003043421102
6241304413320
733232422663
oct7245041620
92474264443
10982795152
114648425a9
12235177240
131287c50c1
149474d6da
155b43386c
hex3a944390

982795152 has 80 divisors (see below), whose sum is σ = 2740717440. Its totient is φ = 302539776.

The previous prime is 982795117. The next prime is 982795153. The reversal of 982795152 is 251597289.

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 (982795153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16668 + ... + 47364.

It is an arithmetic number, because the mean of its divisors is an integer number (34258968).

Almost surely, 2982795152 is an apocalyptic number.

982795152 is a gapful number since it is divisible by the number (92) 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 982795152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370358720).

982795152 is an abundant number, since it is smaller than the sum of its proper divisors (1757922288).

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

982795152 is a wasteful number, since it uses less digits than its factorization.

982795152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30760 (or 30754 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 982795152 is about 31349.5638247169. The cubic root of 982795152 is about 994.2318430035.

The spelling of 982795152 in words is "nine hundred eighty-two million, seven hundred ninety-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2668 4002 5336 8004 10672 16008 30697 32016 61394 92091 122788 184182 245576 368364 491152 706031 736728 890213 1412062 1473456 1780426 2118093 2670639 2824124 3560852 4236186 5341278 5648248 7121704 8472372 10682556 11296496 14243408 16944744 20474899 21365112 33889488 40949798 42730224 61424697 81899596 122849394 163799192 245698788 327598384 491397576 982795152