Search a number
-
+
47168040 = 2335419587
BaseRepresentation
bin1011001111101…
…1101000101000
310021202101101110
42303323220220
544033334130
64402550320
71111631103
oct263735050
9107671343
1047168040
1124697057
12139683a0
139a063aa
14639b73a
15421aab0
hex2cfba28

47168040 has 64 divisors (see below), whose sum is σ = 144970560. Its totient is φ = 12270080.

The previous prime is 47168027. The next prime is 47168041. The reversal of 47168040 is 4086174.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47167989 and 47168007.

It is not an unprimeable number, because it can be changed into a prime (47168041) 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, 127 + ... + 9713.

It is an arithmetic number, because the mean of its divisors is an integer number (2265165).

Almost surely, 247168040 is an apocalyptic number.

47168040 is a gapful number since it is divisible by the number (40) 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 47168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72485280).

47168040 is an abundant number, since it is smaller than the sum of its proper divisors (97802520).

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

47168040 is a wasteful number, since it uses less digits than its factorization.

47168040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9642 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 47168040 is about 6867.8992421264. The cubic root of 47168040 is about 361.3121866260.

The spelling of 47168040 in words is "forty-seven million, one hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 9587 19174 28761 38348 47935 57522 76696 95870 115044 143805 191740 230088 287610 383480 393067 575220 786134 1150440 1179201 1572268 1965335 2358402 3144536 3930670 4716804 5896005 7861340 9433608 11792010 15722680 23584020 47168040