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1025012632 = 237672571063
BaseRepresentation
bin111101000110000…
…111001110011000
32122102202000222211
4331012013032120
54044400401012
6245413324504
734254315010
oct7506071630
92572660884
101025012632
11486658186
12247336734
13134487067
149a1bcc40
155eec26a7
hex3d187398

1025012632 has 64 divisors (see below), whose sum is σ = 2240017920. Its totient is φ = 430645248.

The previous prime is 1025012617. The next prime is 1025012647. The reversal of 1025012632 is 2362105201.

1025012632 is digitally balanced in base 2, because in such base 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 (1025012617) and next prime (1025012647).

It is a super-3 number, since 3×10250126323 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963733 + ... + 964795.

It is an arithmetic number, because the mean of its divisors is an integer number (35000280).

Almost surely, 21025012632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025012632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120008960).

1025012632 is an abundant number, since it is smaller than the sum of its proper divisors (1215005288).

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

1025012632 is a wasteful number, since it uses less digits than its factorization.

1025012632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1025012632 is about 32015.8184652525. The cubic root of 1025012632 is about 1008.2689795112.

Adding to 1025012632 its reverse (2362105201), we get a palindrome (3387117833).

The spelling of 1025012632 in words is "one billion, twenty-five million, twelve thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 257 268 469 514 536 938 1028 1063 1799 1876 2056 2126 3598 3752 4252 7196 7441 8504 14392 14882 17219 29764 34438 59528 68876 71221 120533 137752 142442 241066 273191 284884 482132 498547 546382 569768 964264 997094 1092764 1912337 1994188 2185528 3824674 3988376 7649348 15298696 18303797 36607594 73215188 128126579 146430376 256253158 512506316 1025012632