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1025739468 = 2232134746633
BaseRepresentation
bin111101001000111…
…000101011001100
32122111002222000200
4331020320223030
54100042130333
6245441053500
734263433035
oct7510705314
92574088020
101025739468
11487004276
12247627290
1313467cb40
149a32ba8c
15600b7c13
hex3d238acc

1025739468 has 72 divisors (see below), whose sum is σ = 2851762368. Its totient is φ = 308890368.

The previous prime is 1025739457. The next prime is 1025739479. The reversal of 1025739468 is 8649375201.

1025739468 is a `hidden beast` number, since 1 + 0 + 257 + 394 + 6 + 8 = 666.

1025739468 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1025739457) and next prime (1025739479).

1025739468 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321 + ... + 45312.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025739468 = 2051478936, but 3⋅1025739468 = 3077218404 is not.

Almost surely, 21025739468 is an apocalyptic number.

1025739468 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 1025739468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425881184).

1025739468 is an abundant number, since it is smaller than the sum of its proper divisors (1826022900).

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

1025739468 is a wasteful number, since it uses less digits than its factorization.

1025739468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46703 (or 46698 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1025739468 is about 32027.1676549769. The cubic root of 1025739468 is about 1008.5072442301.

The spelling of 1025739468 in words is "one billion, twenty-five million, seven hundred thirty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 5499 7332 10998 21996 46633 93266 139899 186532 279798 419697 559596 606229 839394 1212458 1678788 1818687 2191751 2424916 3637374 4383502 5456061 6575253 7274748 8767004 10912122 13150506 19725759 21824244 26301012 28492763 39451518 56985526 78903036 85478289 113971052 170956578 256434867 341913156 512869734 1025739468