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47247680 = 265192409
BaseRepresentation
bin1011010000111…
…1000101000000
310021220102122002
42310033011000
544043411210
64404403132
71112412224
oct264170500
9107812562
1047247680
1124740977
12139a64a8
139a3370c
1463bc784
1542344a5
hex2d0f140

47247680 has 84 divisors (see below), whose sum is σ = 119032020. Its totient is φ = 17860608.

The previous prime is 47247659. The next prime is 47247691. The reversal of 47247680 is 8674274.

It can be written as a sum of positive squares in 2 ways, for example, as 31629376 + 15618304 = 5624^2 + 3952^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115316 + ... + 115724.

Almost surely, 247247680 is an apocalyptic number.

47247680 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 47247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59516010).

47247680 is an abundant number, since it is smaller than the sum of its proper divisors (71784340).

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

47247680 is a wasteful number, since it uses less digits than its factorization.

47247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 47247680 is about 6873.6947851938. The cubic root of 47247680 is about 361.5154225664.

The spelling of 47247680 in words is "forty-seven million, two hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 409 608 722 760 818 1216 1444 1520 1636 1805 2045 2888 3040 3272 3610 4090 5776 6080 6544 7220 7771 8180 11552 13088 14440 15542 16360 23104 26176 28880 31084 32720 38855 57760 62168 65440 77710 115520 124336 130880 147649 155420 248672 295298 310840 497344 590596 621680 738245 1181192 1243360 1476490 2362384 2486720 2952980 4724768 5905960 9449536 11811920 23623840 47247680