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3142675392 = 26319245341
BaseRepresentation
bin1011101101010001…
…0110101111000000
322010000111110011220
42323110112233000
522414011103032
61235502235040
7140610204633
oct27324265700
98100443156
103142675392
111372a5a59a
12738585a80
133b111a54c
1421b545c1a
15135d7812c
hexbb516bc0

3142675392 has 84 divisors (see below), whose sum is σ = 8775853416. Its totient is φ = 992401920.

The previous prime is 3142675391. The next prime is 3142675421. The reversal of 3142675392 is 2935762413.

3142675392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142675391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46642 + ... + 91982.

Almost surely, 23142675392 is an apocalyptic number.

3142675392 is a gapful number since it is divisible by the number (32) 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 3142675392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387926708).

3142675392 is an abundant number, since it is smaller than the sum of its proper divisors (5633178024).

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

3142675392 is a wasteful number, since it uses less digits than its factorization.

3142675392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45394 (or 45365 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 3142675392 is about 56059.5700304596. The cubic root of 3142675392 is about 1464.7601236470.

The spelling of 3142675392 in words is "three billion, one hundred forty-two million, six hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 361 456 608 722 912 1083 1216 1444 1824 2166 2888 3648 4332 5776 8664 11552 17328 23104 34656 45341 69312 90682 136023 181364 272046 362728 544092 725456 861479 1088184 1450912 1722958 2176368 2584437 2901824 3445916 4352736 5168874 6891832 8705472 10337748 13783664 16368101 20675496 27567328 32736202 41350992 49104303 55134656 65472404 82701984 98208606 130944808 165403968 196417212 261889616 392834424 523779232 785668848 1047558464 1571337696 3142675392