Search a number
-
+
47063040 = 21335383
BaseRepresentation
bin1011001110001…
…0000000000000
310021120001100120
42303202000000
544022004130
64400420240
71111013013
oct263420000
9107501316
1047063040
1124625182
1213917680
13999a66b
14637137a
1541e9910
hex2ce2000

47063040 has 112 divisors (see below), whose sum is σ = 150985728. Its totient is φ = 12517376.

The previous prime is 47063033. The next prime is 47063041. The reversal of 47063040 is 4036074.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 47063040.

It is not an unprimeable number, because it can be changed into a prime (47063041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122689 + ... + 123071.

Almost surely, 247063040 is an apocalyptic number.

47063040 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 47063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75492864).

47063040 is an abundant number, since it is smaller than the sum of its proper divisors (103922688).

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

47063040 is an equidigital number, since it uses as much as digits as its factorization.

47063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 47063040 is about 6860.2507242811. The cubic root of 47063040 is about 361.0438837289.

The spelling of 47063040 in words is "forty-seven million, sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 383 384 480 512 640 766 768 960 1024 1149 1280 1532 1536 1915 1920 2048 2298 2560 3064 3072 3830 3840 4096 4596 5120 5745 6128 6144 7660 7680 8192 9192 10240 11490 12256 12288 15320 15360 18384 20480 22980 24512 24576 30640 30720 36768 40960 45960 49024 61280 61440 73536 91920 98048 122560 122880 147072 183840 196096 245120 294144 367680 392192 490240 588288 735360 784384 980480 1176576 1470720 1568768 1960960 2353152 2941440 3137536 3921920 4706304 5882880 7843840 9412608 11765760 15687680 23531520 47063040