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47338704 = 2432726709
BaseRepresentation
bin1011010010010…
…1010011010000
310022002001111100
42310211103100
544104314304
64410344400
71113241500
oct264452320
9108061440
1047338704
11247a32a6
1213a2b100
139a65c8a
146403a00
154251439
hex2d254d0

47338704 has 90 divisors (see below), whose sum is σ = 154135410. Its totient is φ = 13523328.

The previous prime is 47338703. The next prime is 47338741. The reversal of 47338704 is 40783374.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 4410000 = 6552^2 + 2100^2 .

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 (47338703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3702 + ... + 10410.

Almost surely, 247338704 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 47338704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77067705).

47338704 is an abundant number, since it is smaller than the sum of its proper divisors (106796706).

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

47338704 is a wasteful number, since it uses less digits than its factorization.

47338704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6721 counting only the distinct ones).

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

The square root of 47338704 is about 6880.3127835877. The cubic root of 47338704 is about 361.7474302233.

The spelling of 47338704 in words is "forty-seven million, three hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 6709 7056 13418 20127 26836 40254 46963 53672 60381 80508 93926 107344 120762 140889 161016 187852 241524 281778 322032 328741 375704 422667 483048 563556 657482 751408 845334 966096 986223 1127112 1314964 1690668 1972446 2254224 2629928 2958669 3381336 3944892 5259856 5917338 6762672 7889784 11834676 15779568 23669352 47338704