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1458139968 = 263631253
BaseRepresentation
bin101011011101001…
…0111001101000000
310202121202012000000
41112322113031000
510441240434333
6400405000000
751063661635
oct12672271500
93677665000
101458139968
1168909a15a
123483b3000
131a3126c1c
14db92818c
158802b713
hex56e97340

1458139968 has 98 divisors (see below), whose sum is σ = 4338398994. Its totient is φ = 486031104.

The previous prime is 1458139967. The next prime is 1458139973. The reversal of 1458139968 is 8699318541.

It can be written as a sum of positive squares in only one way, i.e., 1301189184 + 156950784 = 36072^2 + 12528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1458139967) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31030 + ... + 62282.

Almost surely, 21458139968 is an apocalyptic number.

1458139968 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 1458139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169199497).

1458139968 is an abundant number, since it is smaller than the sum of its proper divisors (2880259026).

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

1458139968 is an frugal number, since it uses more digits than its factorization.

1458139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31283 (or 31258 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1458139968 is about 38185.5989608648. The cubic root of 1458139968 is about 1133.9652294705.

The spelling of 1458139968 in words is "one billion, four hundred fifty-eight million, one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 31253 46656 62506 93759 125012 187518 250024 281277 375036 500048 562554 750072 843831 1000096 1125108 1500144 1687662 2000192 2250216 2531493 3000288 3375324 4500432 5062986 6000576 6750648 7594479 9000864 10125972 13501296 15188958 18001728 20251944 22783437 27002592 30377916 40503888 45566874 54005184 60755832 81007776 91133748 121511664 162015552 182267496 243023328 364534992 486046656 729069984 1458139968