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47104080 = 2435414787
BaseRepresentation
bin1011001110110…
…0000001010000
310021122010122120
42303230001100
544024312310
64401334240
71111243452
oct263540120
9107563576
1047104080
1124652aa1
1213937380
1399b324a
1463822d2
154206b70
hex2cec050

47104080 has 80 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 12252160.

The previous prime is 47104061. The next prime is 47104081. The reversal of 47104080 is 8040174.

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

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 47104080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47104081) 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, 7447 + ... + 12233.

Almost surely, 247104080 is an apocalyptic number.

47104080 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 47104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

47104080 is an abundant number, since it is smaller than the sum of its proper divisors (102511344).

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

47104080 is a wasteful number, since it uses less digits than its factorization.

47104080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 47104080 is about 6863.2412168013. The cubic root of 47104080 is about 361.1487992924.

The spelling of 47104080 in words is "forty-seven million, one hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4787 4920 9574 9840 14361 19148 23935 28722 38296 47870 57444 71805 76592 95740 114888 143610 191480 196267 229776 287220 382960 392534 574440 588801 785068 981335 1148880 1177602 1570136 1962670 2355204 2944005 3140272 3925340 4710408 5888010 7850680 9420816 11776020 15701360 23552040 47104080