Search a number
-
+
3125000032 = 257111737331
BaseRepresentation
bin1011101001000011…
…1011011101100000
322001210020110010221
42322100323131200
522400000000112
61234031332424
7140304030160
oct27220733540
98053213127
103125000032
111363a87860
12732681114
133aa56c25b
142190645a0
15134535e07
hexba43b760

3125000032 has 96 divisors (see below), whose sum is σ = 7715844864. Its totient is φ = 1210329600.

The previous prime is 3124999979. The next prime is 3125000089. The reversal of 3125000032 is 2300005213.

3125000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sliding number, since 3125000032 = 32 + 3125000000 and 1/32 + 1/3125000000 = 0.03125000032.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 422607 + ... + 429937.

It is an arithmetic number, because the mean of its divisors is an integer number (80373384).

Almost surely, 23125000032 is an apocalyptic number.

3125000032 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 3125000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857922432).

3125000032 is an abundant number, since it is smaller than the sum of its proper divisors (4590844832).

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

3125000032 is a wasteful number, since it uses less digits than its factorization.

3125000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3125000032 is about 55901.6997237114. The cubic root of 3125000032 is about 1462.0088740968.

Adding to 3125000032 its reverse (2300005213), we get a palindrome (5425005245).

It can be divided in two parts, 31250000 and 32, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 3125000032 in words is "three billion, one hundred twenty-five million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 173 176 224 308 346 352 616 692 1211 1232 1384 1903 2422 2464 2768 3806 4844 5536 7331 7612 9688 13321 14662 15224 19376 26642 29324 30448 38752 51317 53284 58648 60896 80641 102634 106568 117296 161282 205268 213136 234592 322564 410536 426272 564487 645128 821072 1128974 1268263 1290256 1642144 2257948 2536526 2580512 4515896 5073052 8877841 9031792 10146104 13950893 17755682 18063584 20292208 27901786 35511364 40584416 55803572 71022728 97656251 111607144 142045456 195312502 223214288 284090912 390625004 446428576 781250008 1562500016 3125000032