Search a number
-
+
46659960 = 233253137113
BaseRepresentation
bin1011000111111…
…1100101111000
310020210120102200
42301333211320
543421104320
64344030200
71104413604
oct261774570
9106716380
1046659960
112437a356
1213762360
139889059
1462a8504
15416a290
hex2c7f978

46659960 has 192 divisors, whose sum is σ = 162190080. Its totient is φ = 11612160.

The previous prime is 46659931. The next prime is 46659961. The reversal of 46659960 is 6995664.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46659961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412864 + ... + 412976.

It is an arithmetic number, because the mean of its divisors is an integer number (844740).

Almost surely, 246659960 is an apocalyptic number.

46659960 is a gapful number since it is divisible by the number (40) 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 46659960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81095040).

46659960 is an abundant number, since it is smaller than the sum of its proper divisors (115530120).

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

46659960 is a wasteful number, since it uses less digits than its factorization.

46659960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 46659960 is about 6830.8096152652. The cubic root of 46659960 is about 360.0101848970.

The spelling of 46659960 in words is "forty-six million, six hundred fifty-nine thousand, nine hundred sixty".