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3947714960 = 245724129251
BaseRepresentation
bin1110101101001101…
…0101100110010000
3101012010022200212012
43223103111212100
531041103334320
61451421122052
7166554011030
oct35323254620
911163280765
103947714960
111746422752
129220b9328
134abb46217
142964238c0
151818984c5
hexeb4d5990

3947714960 has 80 divisors (see below), whose sum is σ = 10533528192. Its totient is φ = 1347840000.

The previous prime is 3947714923. The next prime is 3947714983. The reversal of 3947714960 is 694177493.

It is a happy number.

3947714960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3947714899 and 3947714908.

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, 120335 + ... + 149585.

Almost surely, 23947714960 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 3947714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266764096).

3947714960 is an abundant number, since it is smaller than the sum of its proper divisors (6585813232).

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

3947714960 is a wasteful number, since it uses less digits than its factorization.

3947714960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29512 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 3947714960 is about 62830.8440178866. The cubic root of 3947714960 is about 1580.4542517002.

The spelling of 3947714960 in words is "three billion, nine hundred forty-seven million, seven hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 241 280 482 560 964 1205 1687 1928 2410 3374 3856 4820 6748 8435 9640 13496 16870 19280 26992 29251 33740 58502 67480 117004 134960 146255 204757 234008 292510 409514 468016 585020 819028 1023785 1170040 1638056 2047570 2340080 3276112 4095140 7049491 8190280 14098982 16380560 28197964 35247455 49346437 56395928 70494910 98692874 112791856 140989820 197385748 246732185 281979640 394771496 493464370 563959280 789542992 986928740 1973857480 3947714960