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47204080 = 2457117997
BaseRepresentation
bin1011010000010…
…0011011110000
310021211012211021
42310010123300
544041012310
64403425224
71112141140
oct264043360
9107735737
1047204080
1124711140
1213985214
139a19911
1463aa920
1542265da
hex2d046f0

47204080 has 160 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 14376960.

The previous prime is 47204051. The next prime is 47204093. The reversal of 47204080 is 8040274.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 486592 + ... + 486688.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 247204080 is an apocalyptic number.

47204080 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 47204080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

47204080 is an abundant number, since it is smaller than the sum of its proper divisors (92786960).

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

47204080 is a wasteful number, since it uses less digits than its factorization.

47204080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 47204080 is about 6870.5225419905. The cubic root of 47204080 is about 361.4041866052.

The spelling of 47204080 in words is "forty-seven million, two hundred four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 79 80 88 97 110 112 140 154 158 176 194 220 280 308 316 385 388 395 440 485 553 560 616 632 679 770 776 790 869 880 970 1067 1106 1232 1264 1358 1540 1552 1580 1738 1940 2134 2212 2716 2765 3080 3160 3395 3476 3880 4268 4345 4424 5335 5432 5530 6083 6160 6320 6790 6952 7469 7663 7760 8536 8690 8848 10670 10864 11060 12166 13580 13904 14938 15326 17072 17380 21340 22120 24332 27160 29876 30415 30652 34760 37345 38315 42680 44240 48664 53641 54320 59752 60830 61304 69520 74690 76630 84293 85360 97328 107282 119504 121660 122608 149380 153260 168586 214564 243320 268205 298760 306520 337172 421465 429128 486640 536410 590051 597520 613040 674344 842930 858256 1072820 1180102 1348688 1685860 2145640 2360204 2950255 3371720 4291280 4720408 5900510 6743440 9440816 11801020 23602040 47204080