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47119920 = 24351711549
BaseRepresentation
bin1011001110111…
…1111000110000
310021122221101020
42303233320300
544030314140
64401535440
71111340601
oct263577060
9107587336
1047119920
1124663991
1213944580
1399ba513
146387da8
15420b6d0
hex2cefe30

47119920 has 80 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 11825152.

The previous prime is 47119913. The next prime is 47119949. The reversal of 47119920 is 2991174.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695 + ... + 9854.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 247119920 is an apocalyptic number.

47119920 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 47119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

47119920 is an abundant number, since it is smaller than the sum of its proper divisors (107557680).

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

47119920 is a wasteful number, since it uses less digits than its factorization.

47119920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11576 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 47119920 is about 6864.3950935243. The cubic root of 47119920 is about 361.1892767193.

The spelling of 47119920 in words is "forty-seven million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 11549 23098 34647 46196 57745 69294 92392 115490 138588 173235 184784 196333 230980 277176 346470 392666 461960 554352 588999 692940 785332 923920 981665 1177998 1385880 1570664 1963330 2355996 2771760 2944995 3141328 3926660 4711992 5889990 7853320 9423984 11779980 15706640 23559960 47119920