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1493347968 = 2733761729
BaseRepresentation
bin101100100000010…
…1010111010000000
310212001222221022000
41121000222322000
511024244113333
6404103344000
752002151110
oct13100527200
93761887260
101493347968
116a6a57482
12358152000
131aa503568
14102491040
158b183713
hex5902ae80

1493347968 has 128 divisors (see below), whose sum is σ = 5037168000. Its totient is φ = 426663936.

The previous prime is 1493347963. The next prime is 1493347969. The reversal of 1493347968 is 8697433941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1493347963) 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 15 ways as a sum of consecutive naturals, for example, 6673 + ... + 55056.

It is an arithmetic number, because the mean of its divisors is an integer number (39352875).

Almost surely, 21493347968 is an apocalyptic number.

1493347968 is a gapful number since it is divisible by the number (18) 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 1493347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518584000).

1493347968 is an abundant number, since it is smaller than the sum of its proper divisors (3543820032).

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

1493347968 is an equidigital number, since it uses as much as digits as its factorization.

1493347968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61759 (or 61741 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1493347968 is about 38643.8606766974. The cubic root of 1493347968 is about 1143.0195848147.

The spelling of 1493347968 in words is "one billion, four hundred ninety-three million, three hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 61729 123458 185187 246916 370374 432103 493832 555561 740748 864206 987664 1111122 1296309 1481496 1666683 1728412 1975328 2222244 2592618 2962992 3333366 3456824 3888927 3950656 4444488 5185236 5925984 6666732 6913648 7777854 7901312 8888976 10370472 11666781 11851968 13333464 13827296 15555708 17777952 20740944 23333562 23703936 26666928 27654592 31111416 35555904 41481888 46667124 53333856 55309184 62222832 71111808 82963776 93334248 106667712 124445664 165927552 186668496 213335424 248891328 373336992 497782656 746673984 1493347968