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47104000 = 2145323
BaseRepresentation
bin1011001110110…
…0000000000000
310021122010112121
42303230000000
544024312000
64401334024
71111243306
oct263540000
9107563477
1047104000
1124652a29
1213937314
1399b31b8
146382276
154206b1a
hex2cec000

47104000 has 120 divisors (see below), whose sum is σ = 122679648. Its totient is φ = 18022400.

The previous prime is 47103961. The next prime is 47104003. The reversal of 47104000 is 40174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (47104003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047989 + ... + 2048011.

Almost surely, 247104000 is an apocalyptic number.

47104000 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 47104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61339824).

47104000 is an abundant number, since it is smaller than the sum of its proper divisors (75575648).

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

47104000 is an frugal number, since it uses more digits than its factorization.

47104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 47104000 is about 6863.2353886487. The cubic root of 47104000 is about 361.1485948379.

Adding to 47104000 its reverse (40174), we get a palindrome (47144174).

The spelling of 47104000 in words is "forty-seven million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 512 575 640 736 800 920 1000 1024 1150 1280 1472 1600 1840 2000 2048 2300 2560 2875 2944 3200 3680 4000 4096 4600 5120 5750 5888 6400 7360 8000 8192 9200 10240 11500 11776 12800 14720 16000 16384 18400 20480 23000 23552 25600 29440 32000 36800 40960 46000 47104 51200 58880 64000 73600 81920 92000 94208 102400 117760 128000 147200 184000 188416 204800 235520 256000 294400 368000 376832 409600 471040 512000 588800 736000 942080 1024000 1177600 1472000 1884160 2048000 2355200 2944000 4710400 5888000 9420800 11776000 23552000 47104000