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3900487956 = 2231795320063
BaseRepresentation
bin1110100001111100…
…1011100100010100
3101001211110022120220
43220133023210110
530442011103311
61443012554340
7165441413001
oct35037134424
911054408526
103900487956
1117217a6372
1290a3229b0
134a211c051
1429004c8a8
1517c66a206
hexe87cb914

3900487956 has 48 divisors (see below), whose sum is σ = 9647092224. Its totient is φ = 1222337536.

The previous prime is 3900487951. The next prime is 3900487961. The reversal of 3900487956 is 6597840093.

3900487956 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 an interprime number because it is at equal distance from previous prime (3900487951) and next prime (3900487961).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3900487899 and 3900487908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900487951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184381 + ... + 204443.

It is an arithmetic number, because the mean of its divisors is an integer number (200981088).

Almost surely, 23900487956 is an apocalyptic number.

It is an amenable number.

3900487956 is an abundant number, since it is smaller than the sum of its proper divisors (5746604268).

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

3900487956 is a wasteful number, since it uses less digits than its factorization.

3900487956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21040 (or 21038 counting only the distinct ones).

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

The square root of 3900487956 is about 62453.8866364616. The cubic root of 3900487956 is about 1574.1265611133.

The spelling of 3900487956 in words is "three billion, nine hundred million, four hundred eighty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 953 1906 2859 3812 5718 11436 16201 20063 32402 40126 48603 60189 64804 80252 97206 120378 194412 240756 341071 682142 1023213 1364284 2046426 4092852 19120039 38240078 57360117 76480156 114720234 229440468 325040663 650081326 975121989 1300162652 1950243978 3900487956