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1025451136 = 27232912011
BaseRepresentation
bin111101000111110…
…010010010000000
32122110120022111201
4331013302102000
54100003414021
6245430550544
734261122313
oct7507622200
92573508451
101025451136
11486927686
12247508454
131345ab828
149a29497a
156005c591
hex3d1f2480

1025451136 has 64 divisors (see below), whose sum is σ = 2205403200. Its totient is φ = 473482240.

The previous prime is 1025451127. The next prime is 1025451149. The reversal of 1025451136 is 6311545201.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 79371 + ... + 91381.

It is an arithmetic number, because the mean of its divisors is an integer number (34459425).

Almost surely, 21025451136 is an apocalyptic number.

1025451136 is a gapful number since it is divisible by the number (16) 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 1025451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102701600).

1025451136 is an abundant number, since it is smaller than the sum of its proper divisors (1179952064).

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

1025451136 is a wasteful number, since it uses less digits than its factorization.

1025451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12065 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1025451136 is about 32022.6659727138. The cubic root of 1025451136 is about 1008.4127393484.

Adding to 1025451136 its reverse (6311545201), we get a palindrome (7336996337).

The spelling of 1025451136 in words is "one billion, twenty-five million, four hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 368 464 667 736 928 1334 1472 1856 2668 2944 3712 5336 10672 12011 21344 24022 42688 48044 85376 96088 192176 276253 348319 384352 552506 696638 768704 1105012 1393276 1537408 2210024 2786552 4420048 5573104 8011337 8840096 11146208 16022674 17680192 22292416 32045348 35360384 44584832 64090696 128181392 256362784 512725568 1025451136