Search a number
-
+
47153480 = 23511313457
BaseRepresentation
bin1011001111100…
…0000101001000
310021201122102012
42303320011020
544032402410
64402355052
71111540463
oct263700510
9107648365
1047153480
1124687120
121395ba88
1399cc88a
1463962da
154216605
hex2cf8148

47153480 has 64 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 16588800.

The previous prime is 47153479. The next prime is 47153489. The reversal of 47153480 is 8435174.

It is a super-2 number, since 2×471534802 = 4446901352220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47153489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11912 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 247153480 is an apocalyptic number.

47153480 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 47153480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

47153480 is an abundant number, since it is smaller than the sum of its proper divisors (72355000).

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

47153480 is a wasteful number, since it uses less digits than its factorization.

47153480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 47153480 is about 6866.8391564096. The cubic root of 47153480 is about 361.2750057522.

The spelling of 47153480 in words is "forty-seven million, one hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 3457 6820 6914 13640 13828 17285 27656 34570 38027 69140 76054 107167 138280 152108 190135 214334 304216 380270 428668 535835 760540 857336 1071670 1178837 1521080 2143340 2357674 4286680 4715348 5894185 9430696 11788370 23576740 47153480