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46116840 = 233572112331
BaseRepresentation
bin1010111111101…
…0111111101000
310012202222102010
42233322333220
543301214330
64324235520
71066662300
oct257727750
9105688363
1046116840
11240392a0
121353bba0
139728a93
1461a6600
1540ae3b0
hex2bfafe8

46116840 has 384 divisors, whose sum is σ = 189112320. Its totient is φ = 8870400.

The previous prime is 46116839. The next prime is 46116887. The reversal of 46116840 is 4861164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 46116798 and 46116807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1487625 + ... + 1487655.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 246116840 is an apocalyptic number.

46116840 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 46116840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556160).

46116840 is an abundant number, since it is smaller than the sum of its proper divisors (142995480).

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

46116840 is a wasteful number, since it uses less digits than its factorization.

46116840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 46116840 is about 6790.9380795292. The cubic root of 46116840 is about 358.6078953344.

It can be divided in two parts, 46 and 116840, that added together give a triangular number (116886 = T483).

The spelling of 46116840 in words is "forty-six million, one hundred sixteen thousand, eight hundred forty".