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1238748672 = 2937115211
BaseRepresentation
bin100100111010101…
…1100111000000000
310012022220221201110
41021311130320000
510014104424142
6322530403320
742461122110
oct11165347000
93168827643
101238748672
11586272237
122a6a30540
131698405a5
14ba739040
1573b4199c
hex49d5ce00

1238748672 has 80 divisors (see below), whose sum is σ = 3771580032. Its totient is φ = 353925120.

The previous prime is 1238748671. The next prime is 1238748713. The reversal of 1238748672 is 2768478321.

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

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 (1238748671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46854 + ... + 68357.

Almost surely, 21238748672 is an apocalyptic number.

1238748672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1238748672 is an abundant number, since it is smaller than the sum of its proper divisors (2532831360).

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

1238748672 is an equidigital number, since it uses as much as digits as its factorization.

1238748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115239 (or 115223 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 1238748672 is about 35195.8615749068. The cubic root of 1238748672 is about 1073.9755654723.

The spelling of 1238748672 in words is "one billion, two hundred thirty-eight million, seven hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 115211 230422 345633 460844 691266 806477 921688 1382532 1612954 1843376 2419431 2765064 3225908 3686752 4838862 5530128 6451816 7373504 9677724 11060256 12903632 14747008 19355448 22120512 25807264 29494016 38710896 44241024 51614528 58988032 77421792 88482048 103229056 154843584 176964096 206458112 309687168 412916224 619374336 1238748672