Search a number
-
+
46158840 = 233257131409
BaseRepresentation
bin1011000000010…
…1001111111000
310012212010000200
42300011033320
543304040330
64325202200
71100225610
oct260051770
9105763020
1046158840
1124067902
1213560360
139741c30
1461b7a40
1540bba60
hex2c053f8

46158840 has 192 divisors, whose sum is σ = 184766400. Its totient is φ = 9732096.

The previous prime is 46158821. The next prime is 46158851. The reversal of 46158840 is 4885164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46158795 and 46158804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32056 + ... + 33464.

It is an arithmetic number, because the mean of its divisors is an integer number (962325).

Almost surely, 246158840 is an apocalyptic number.

46158840 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 46158840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92383200).

46158840 is an abundant number, since it is smaller than the sum of its proper divisors (138607560).

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

46158840 is a wasteful number, since it uses less digits than its factorization.

46158840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 46158840 is about 6794.0297320515. The cubic root of 46158840 is about 358.7167273184.

The spelling of 46158840 in words is "forty-six million, one hundred fifty-eight thousand, eight hundred forty".