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47956992 = 210367233
BaseRepresentation
bin1011011011110…
…0010000000000
310100020110121220
42312330100000
544234110432
64431515040
71121425206
oct266742000
9110213556
1047956992
1125085886
1214088a80
139c21525
146525076
15432472c
hex2dbc400

47956992 has 88 divisors (see below), whose sum is σ = 130287456. Its totient is φ = 15679488.

The previous prime is 47956963. The next prime is 47956999. The reversal of 47956992 is 29965974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47956999) 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, 205708 + ... + 205940.

Almost surely, 247956992 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 47956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65143728).

47956992 is an abundant number, since it is smaller than the sum of its proper divisors (82330464).

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

47956992 is a wasteful number, since it uses less digits than its factorization.

47956992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 47956992 is about 6925.0986996576. The cubic root of 47956992 is about 363.3155434621.

The spelling of 47956992 in words is "forty-seven million, nine hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 233 256 268 384 402 466 512 536 699 768 804 932 1024 1072 1398 1536 1608 1864 2144 2796 3072 3216 3728 4288 5592 6432 7456 8576 11184 12864 14912 15611 17152 22368 25728 29824 31222 34304 44736 46833 51456 59648 62444 68608 89472 93666 102912 119296 124888 178944 187332 205824 238592 249776 357888 374664 499552 715776 749328 999104 1498656 1998208 2997312 3996416 5994624 7992832 11989248 15985664 23978496 47956992