Search a number
-
+
3992400101 = 294710092903
BaseRepresentation
bin1110110111110111…
…0011000011100101
3101022020101221100102
43231331303003211
531134023300401
61500054553445
7200635561304
oct35575630345
911266357312
103992400101
111769673318
12935068885
134b8190431
1429c33643b
1518577356b
hexedf730e5

3992400101 has 16 divisors (see below), whose sum is σ = 4223577600. Its totient is φ = 3767678208.

The previous prime is 3992400089. The next prime is 3992400121. The reversal of 3992400101 is 1010042993.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3992400101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992400121) 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, 1373816 + ... + 1376718.

It is an arithmetic number, because the mean of its divisors is an integer number (263973600).

Almost surely, 23992400101 is an apocalyptic number.

It is an amenable number.

3992400101 is a deficient number, since it is larger than the sum of its proper divisors (231177499).

3992400101 is a wasteful number, since it uses less digits than its factorization.

3992400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 3992400101 is about 63185.4421603584. The cubic root of 3992400101 is about 1586.3950739490.

The spelling of 3992400101 in words is "three billion, nine hundred ninety-two million, four hundred thousand, one hundred one".

Divisors: 1 29 47 1009 1363 2903 29261 47423 84187 136441 1375267 2929127 3956789 84944683 137668969 3992400101