Search a number
-
+
1025974368 = 253213726003
BaseRepresentation
bin111101001001110…
…010000001100000
32122111112220020200
4331021302001200
54100122134433
6245450105200
734265431626
oct7511620140
92574486220
101025974368
11487154801
1224771b200
13134732a33
149a38d516
1560112613
hex3d272060

1025974368 has 72 divisors (see below), whose sum is σ = 2939024088. Its totient is φ = 339482112.

The previous prime is 1025974351. The next prime is 1025974373. The reversal of 1025974368 is 8634795201.

1025974368 is a `hidden beast` number, since 10 + 2 + 597 + 43 + 6 + 8 = 666.

1025974368 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

1025974368 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26455 + ... + 52457.

It is an arithmetic number, because the mean of its divisors is an integer number (40819779).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025974368 = 2051948736, but 3⋅1025974368 = 3077923104 is not.

Almost surely, 21025974368 is an apocalyptic number.

1025974368 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 1025974368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469512044).

1025974368 is an abundant number, since it is smaller than the sum of its proper divisors (1913049720).

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

1025974368 is a wasteful number, since it uses less digits than its factorization.

1025974368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26156 (or 26145 counting only the distinct ones).

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

The square root of 1025974368 is about 32030.8346441363. The cubic root of 1025974368 is about 1008.5842229294.

The spelling of 1025974368 in words is "one billion, twenty-five million, nine hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 9864 13152 19728 26003 39456 52006 78009 104012 156018 208024 234027 312036 416048 468054 624072 832096 936108 1248144 1872216 2496288 3562411 3744432 7124822 7488864 10687233 14249644 21374466 28499288 32061699 42748932 56998576 64123398 85497864 113997152 128246796 170995728 256493592 341991456 512987184 1025974368