Search a number
-
+
47347380 = 223251715473
BaseRepresentation
bin1011010010011…
…1011010110100
310022002111101200
42310213122310
544110104010
64410452500
71113306003
oct264473264
9108074350
1047347380
11247a9873
1213a34130
139a69c02
146406c3a
154253cc0
hex2d276b4

47347380 has 72 divisors (see below), whose sum is σ = 152078472. Its totient is φ = 11882496.

The previous prime is 47347369. The next prime is 47347387. The reversal of 47347380 is 8374374.

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 39087504 = 2874^2 + 6252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47347387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4677 + ... + 10796.

It is an arithmetic number, because the mean of its divisors is an integer number (2112201).

Almost surely, 247347380 is an apocalyptic number.

It is an amenable number.

47347380 is an abundant number, since it is smaller than the sum of its proper divisors (104731092).

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

47347380 is a wasteful number, since it uses less digits than its factorization.

47347380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15505 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 47347380 is about 6880.9432492937. The cubic root of 47347380 is about 361.7695286243.

The spelling of 47347380 in words is "forty-seven million, three hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 15473 30946 46419 61892 77365 92838 139257 154730 185676 232095 263041 278514 309460 464190 526082 557028 696285 789123 928380 1052164 1315205 1392570 1578246 2367369 2630410 2785140 3156492 3945615 4734738 5260820 7891230 9469476 11836845 15782460 23673690 47347380