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47690000 = 245419251
BaseRepresentation
bin1011010111101…
…1000100010000
310022201220101022
42311323010100
544202040000
64422055012
71116233621
oct265730420
9108656338
1047690000
1124a13226
1213b7a468
139b59b47
146495a48
1542c0585
hex2d7b110

47690000 has 100 divisors (see below), whose sum is σ = 122023440. Its totient is φ = 18000000.

The previous prime is 47689991. The next prime is 47690029. The reversal of 47690000 is 9674.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×476900002 = 4548672200000000, which contains 22 as substring.

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, 189875 + ... + 190125.

Almost surely, 247690000 is an apocalyptic number.

47690000 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 47690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61011720).

47690000 is an abundant number, since it is smaller than the sum of its proper divisors (74333440).

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

47690000 is a wasteful number, since it uses less digits than its factorization.

47690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 47690000 is about 6905.7946682478. The cubic root of 47690000 is about 362.6400568591.

Adding to 47690000 its reverse (9674), we get a palindrome (47699674).

The spelling of 47690000 in words is "forty-seven million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 251 304 380 400 475 500 502 625 760 950 1000 1004 1250 1255 1520 1900 2000 2008 2375 2500 2510 3800 4016 4750 4769 5000 5020 6275 7600 9500 9538 10000 10040 11875 12550 19000 19076 20080 23750 23845 25100 31375 38000 38152 47500 47690 50200 62750 76304 95000 95380 100400 119225 125500 156875 190000 190760 238450 251000 313750 381520 476900 502000 596125 627500 953800 1192250 1255000 1907600 2384500 2510000 2980625 4769000 5961250 9538000 11922500 23845000 47690000