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981482004 = 223227263389
BaseRepresentation
bin111010100000000…
…011101000010100
32112101211110012100
4322200003220110
54002224411004
6241220322100
733215313366
oct7240035024
92471743170
10981482004
11464025a58
12234843330
131284554a9
14944cad36
155b274739
hex3a803a14

981482004 has 18 divisors (see below), whose sum is σ = 2480968490. Its totient is φ = 327160656.

The previous prime is 981481957. The next prime is 981482071. The reversal of 981482004 is 400284189.

It can be written as a sum of positive squares in only one way, i.e., 544755600 + 436726404 = 23340^2 + 20898^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27263389 = 981482004 / (9 + 8 + 1 + 4 + 8 + 2 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 981482004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13631659 + ... + 13631730.

Almost surely, 2981482004 is an apocalyptic number.

It is an amenable number.

981482004 is an abundant number, since it is smaller than the sum of its proper divisors (1499486486).

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

981482004 is a wasteful number, since it uses less digits than its factorization.

981482004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27263399 (or 27263394 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 981482004 is about 31328.6131834781. The cubic root of 981482004 is about 993.7888359808.

The spelling of 981482004 in words is "nine hundred eighty-one million, four hundred eighty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 27263389 54526778 81790167 109053556 163580334 245370501 327160668 490741002 981482004