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3906987252 = 2237194159707
BaseRepresentation
bin1110100011011111…
…1110010011110100
3101002021200111221120
43220313332103310
531000142043002
61443404143540
7165550562250
oct35067762364
911067614846
103906987252
111725435393
12910537bb0
134a358639c
14290c61260
1517d000cbc
hexe8dfe4f4

3906987252 has 96 divisors (see below), whose sum is σ = 11234657280. Its totient is φ = 1031719680.

The previous prime is 3906987251. The next prime is 3906987289. The reversal of 3906987252 is 2527896093.

It is a junction number, because it is equal to n+sod(n) for n = 3906987195 and 3906987204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906987251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35583 + ... + 95289.

It is an arithmetic number, because the mean of its divisors is an integer number (117027680).

Almost surely, 23906987252 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 3906987252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617328640).

3906987252 is an abundant number, since it is smaller than the sum of its proper divisors (7327670028).

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

3906987252 is a wasteful number, since it uses less digits than its factorization.

3906987252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59781 (or 59779 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3906987252 is about 62505.8977377335. The cubic root of 3906987252 is about 1575.0003865960. Note that the first 3 decimals are identical.

The spelling of 3906987252 in words is "three billion, nine hundred six million, nine hundred eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 57 76 82 84 114 123 133 164 228 246 266 287 399 492 532 574 779 798 861 1148 1558 1596 1722 2337 3116 3444 4674 5453 9348 10906 16359 21812 32718 59707 65436 119414 179121 238828 358242 417949 716484 835898 1134433 1253847 1671796 2268866 2447987 2507694 3403299 4537732 4895974 5015388 6806598 7343961 7941031 9791948 13613196 14687922 15882062 17135909 23823093 29375844 31764124 34271818 46511753 47646186 51407727 68543636 93023506 95292372 102815454 139535259 186047012 205630908 279070518 325582271 558141036 651164542 976746813 1302329084 1953493626 3906987252