Search a number
-
+
47453952 = 283721397
BaseRepresentation
bin1011010100000…
…1011100000000
310022021220120210
42311001130000
544122011302
64413034120
71114231500
oct265013400
9108256523
1047453952
1124871947
1213a85940
139aa6580
146433a00
15427566c
hex2d41700

47453952 has 216 divisors, whose sum is σ = 159848976. Its totient is φ = 12386304.

The previous prime is 47453929. The next prime is 47453969. The reversal of 47453952 is 25935474.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 47453952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489168 + ... + 489264.

Almost surely, 247453952 is an apocalyptic number.

47453952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79924488).

47453952 is an abundant number, since it is smaller than the sum of its proper divisors (112395024).

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

47453952 is a wasteful number, since it uses less digits than its factorization.

47453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 47453952 is about 6888.6828929774. The cubic root of 47453952 is about 362.0407552580.

The spelling of 47453952 in words is "forty-seven million, four hundred fifty-three thousand, nine hundred fifty-two".