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47071232 = 21413217
BaseRepresentation
bin1011001110010…
…0000000000000
310021120110120222
42303210000000
544022234412
64400522212
71111045625
oct263440000
9107513528
1047071232
112463034a
1213920368
1399a1300
14637434c
1541ec072
hex2ce4000

47071232 has 90 divisors (see below), whose sum is σ = 107934498. Its totient is φ = 20447232.

The previous prime is 47071207. The next prime is 47071247. The reversal of 47071232 is 23217074.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 46022656 = 1024^2 + 6784^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2768888 + ... + 2768904.

Almost surely, 247071232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53967249).

47071232 is an abundant number, since it is smaller than the sum of its proper divisors (60863266).

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

47071232 is an equidigital number, since it uses as much as digits as its factorization.

47071232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 47071232 is about 6860.8477610278. The cubic root of 47071232 is about 361.0648308097.

The spelling of 47071232 in words is "forty-seven million, seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 208 221 256 272 338 416 442 512 544 676 832 884 1024 1088 1352 1664 1768 2048 2176 2704 2873 3328 3536 4096 4352 5408 5746 6656 7072 8192 8704 10816 11492 13312 14144 16384 17408 21632 22984 26624 28288 34816 43264 45968 53248 56576 69632 86528 91936 106496 113152 139264 173056 183872 212992 226304 278528 346112 367744 452608 692224 735488 905216 1384448 1470976 1810432 2768896 2941952 3620864 5883904 11767808 23535616 47071232