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47120000 = 27541931
BaseRepresentation
bin1011001110111…
…1111010000000
310021122221111012
42303233322000
544030320000
64401540052
71111341044
oct263577200
9107587435
1047120000
1124663a54
1213944628
1399ba575
146388024
15420b735
hex2cefe80

47120000 has 160 divisors (see below), whose sum is σ = 127459200. Its totient is φ = 17280000.

The previous prime is 47119951. The next prime is 47120053. The reversal of 47120000 is 2174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1519985 + ... + 1520015.

It is an arithmetic number, because the mean of its divisors is an integer number (796620).

Almost surely, 247120000 is an apocalyptic number.

47120000 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 47120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63729600).

47120000 is an abundant number, since it is smaller than the sum of its proper divisors (80339200).

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

47120000 is an equidigital number, since it uses as much as digits as its factorization.

47120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 47120000 is about 6864.4009206922. The cubic root of 47120000 is about 361.1894811277.

Adding to 47120000 its reverse (2174), we get a palindrome (47122174).

The spelling of 47120000 in words is "forty-seven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 62 64 76 80 95 100 124 125 128 152 155 160 190 200 248 250 304 310 320 380 400 475 496 500 589 608 620 625 640 760 775 800 950 992 1000 1178 1216 1240 1250 1520 1550 1600 1900 1984 2000 2356 2375 2432 2480 2500 2945 3040 3100 3200 3800 3875 3968 4000 4712 4750 4960 5000 5890 6080 6200 7600 7750 8000 9424 9500 9920 10000 11780 11875 12160 12400 14725 15200 15500 16000 18848 19000 19375 19840 20000 23560 23750 24800 29450 30400 31000 37696 38000 38750 40000 47120 47500 49600 58900 60800 62000 73625 75392 76000 77500 80000 94240 95000 99200 117800 124000 147250 152000 155000 188480 190000 235600 248000 294500 304000 310000 368125 376960 380000 471200 496000 589000 620000 736250 760000 942400 1178000 1240000 1472500 1520000 1884800 2356000 2480000 2945000 4712000 5890000 9424000 11780000 23560000 47120000