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47500680 = 2335311132
BaseRepresentation
bin1011010100110…
…0110110001000
310022101021200110
42311030312020
544130010210
64414034320
71114514643
oct265146610
9108337613
1047500680
11248a3a67
1213aa89a0
139ac1916
146446a5a
154284420
hex2d4cd88

47500680 has 96 divisors (see below), whose sum is σ = 148412160. Its totient is φ = 12149760.

The previous prime is 47500679. The next prime is 47500709. The reversal of 47500680 is 8600574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420304 + ... + 420416.

It is an arithmetic number, because the mean of its divisors is an integer number (1545960).

Almost surely, 247500680 is an apocalyptic number.

47500680 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 47500680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74206080).

47500680 is an abundant number, since it is smaller than the sum of its proper divisors (100911480).

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

47500680 is a wasteful number, since it uses less digits than its factorization.

47500680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 47500680 is about 6892.0737082536. The cubic root of 47500680 is about 362.1595503556.

The spelling of 47500680 in words is "forty-seven million, five hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 113 120 124 155 186 226 248 310 339 372 452 465 565 620 678 744 904 930 1130 1240 1356 1695 1860 2260 2712 3390 3503 3720 4520 6780 7006 10509 12769 13560 14012 17515 21018 25538 28024 35030 38307 42036 51076 52545 63845 70060 76614 84072 102152 105090 127690 140120 153228 191535 210180 255380 306456 383070 395839 420360 510760 766140 791678 1187517 1532280 1583356 1979195 2375034 3166712 3958390 4750068 5937585 7916780 9500136 11875170 15833560 23750340 47500680