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1242444672 = 27327154073
BaseRepresentation
bin100101000001110…
…0011001110000000
310012120212201200100
41022003203032000
510021031212142
6323141522400
742534414450
oct11203431600
93176781610
101242444672
11588367087
122a8113400
1316a535981
14bb01bd60
1574121b4c
hex4a0e3380

1242444672 has 96 divisors (see below), whose sum is σ = 4086042480. Its totient is φ = 354981888.

The previous prime is 1242444667. The next prime is 1242444673. The reversal of 1242444672 is 2764442421.

1242444672 is a `hidden beast` number, since 124 + 24 + 446 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242444673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 68973 + ... + 85100.

Almost surely, 21242444672 is an apocalyptic number.

1242444672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1242444672 is an abundant number, since it is smaller than the sum of its proper divisors (2843597808).

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

1242444672 is a wasteful number, since it uses less digits than its factorization.

1242444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154100 (or 154085 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 1242444672 is about 35248.3286412278. The cubic root of 1242444672 is about 1075.0426294975.

The spelling of 1242444672 in words is "one billion, two hundred forty-two million, four hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 154073 308146 462219 616292 924438 1078511 1232584 1386657 1848876 2157022 2465168 2773314 3235533 3697752 4314044 4930336 5546628 6471066 7395504 8628088 9706599 9860672 11093256 12942132 14791008 17256176 19413198 19721344 22186512 25884264 29582016 34512352 38826396 44373024 51768528 59164032 69024704 77652792 88746048 103537056 138049408 155305584 177492096 207074112 310611168 414148224 621222336 1242444672