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46990440 = 23325729643
BaseRepresentation
bin1011001101000…
…0010001101000
310021102100202200
42303100101220
544012143230
64355100200
71110261240
oct263202150
9107370680
1046990440
1124585682
12138a1660
1399735c3
146352b20
1541d3160
hex2cd0468

46990440 has 192 divisors, whose sum is σ = 180835200. Its totient is φ = 10354176.

The previous prime is 46990429. The next prime is 46990453. The reversal of 46990440 is 4409964.

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 = 46990395 and 46990404.

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, 72759 + ... + 73401.

It is an arithmetic number, because the mean of its divisors is an integer number (941850).

Almost surely, 246990440 is an apocalyptic number.

46990440 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 46990440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90417600).

46990440 is an abundant number, since it is smaller than the sum of its proper divisors (133844760).

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

46990440 is a wasteful number, since it uses less digits than its factorization.

46990440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46990440 is about 6854.9573302830. The cubic root of 46990440 is about 360.8581380020.

It can be divided in two parts, 469 and 90440, that added together give a palindrome (90909).

The spelling of 46990440 in words is "forty-six million, nine hundred ninety thousand, four hundred forty".