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3140625528 = 2333232921799
BaseRepresentation
bin1011101100110010…
…0010010001111000
322002212122022022000
42323030202101320
522413000004103
61235350301000
7140553606435
oct27314422170
98085568260
103140625528
11137188a497
12737957760
133b0880501
1421b170b8c
15135ac0aa3
hexbb322478

3140625528 has 128 divisors (see below), whose sum is σ = 9417600000. Its totient is φ = 966784896.

The previous prime is 3140625479. The next prime is 3140625533. The reversal of 3140625528 is 8255260413.

3140625528 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 625 + 5 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3140625492 and 3140625501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133173 + ... + 154971.

It is an arithmetic number, because the mean of its divisors is an integer number (73575000).

Almost surely, 23140625528 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 3140625528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708800000).

3140625528 is an abundant number, since it is smaller than the sum of its proper divisors (6276974472).

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

3140625528 is a wasteful number, since it uses less digits than its factorization.

3140625528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866 (or 21856 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3140625528 is about 56041.2841394628. The cubic root of 3140625528 is about 1464.4415827297.

The spelling of 3140625528 in words is "three billion, one hundred forty million, six hundred twenty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 92 108 116 138 174 184 207 216 232 261 276 348 414 522 552 621 667 696 783 828 1044 1242 1334 1566 1656 2001 2088 2484 2668 3132 4002 4968 5336 6003 6264 8004 12006 16008 18009 21799 24012 36018 43598 48024 65397 72036 87196 130794 144072 174392 196191 261588 392382 501377 523176 588573 632171 784764 1002754 1177146 1264342 1504131 1569528 1896513 2005508 2354292 2528684 3008262 3793026 4011016 4512393 4708584 5057368 5689539 6016524 7586052 9024786 11379078 12033048 13537179 14539933 15172104 17068617 18049572 22758156 27074358 29079866 34137234 36099144 43619799 45516312 54148716 58159732 68274468 87239598 108297432 116319464 130859397 136548936 174479196 261718794 348958392 392578191 523437588 785156382 1046875176 1570312764 3140625528