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47338752 = 283531163
BaseRepresentation
bin1011010010010…
…1010100000000
310022002001120010
42310211110000
544104320002
64410344520
71113241566
oct264452400
9108061503
1047338752
11247a333a
1213a2b140
139a65cc6
146403a36
15425146c
hex2d25500

47338752 has 72 divisors (see below), whose sum is σ = 128477664. Its totient is φ = 15468544.

The previous prime is 47338741. The next prime is 47338757. The reversal of 47338752 is 25783374.

It is a self number, because there is not a number n which added to its sum of digits gives 47338752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47338757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40123 + ... + 41285.

It is an arithmetic number, because the mean of its divisors is an integer number (1784412).

Almost surely, 247338752 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 47338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64238832).

47338752 is an abundant number, since it is smaller than the sum of its proper divisors (81138912).

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

47338752 is a wasteful number, since it uses less digits than its factorization.

47338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1221 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 47338752 is about 6880.3162718003. The cubic root of 47338752 is about 361.7475524902.

The spelling of 47338752 in words is "forty-seven million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1163 1272 1696 2326 2544 3392 3489 4652 5088 6784 6978 9304 10176 13568 13956 18608 20352 27912 37216 40704 55824 61639 74432 111648 123278 148864 184917 223296 246556 297728 369834 446592 493112 739668 893184 986224 1479336 1972448 2958672 3944896 5917344 7889792 11834688 15779584 23669376 47338752