Search a number
-
+
46990640 = 245718273
BaseRepresentation
bin1011001101000…
…0010100110000
310021102101001002
42303100110300
544012200030
64355101132
71110261644
oct263202460
9107371032
1046990640
1124585844
12138a17a8
139973718
146352c24
1541d3245
hex2cd0530

46990640 has 40 divisors (see below), whose sum is σ = 110805408. Its totient is φ = 18529280.

The previous prime is 46990639. The next prime is 46990673. The reversal of 46990640 is 4609964.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 46990594 and 46990603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1544 + ... + 9816.

Almost surely, 246990640 is an apocalyptic number.

46990640 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 46990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55402704).

46990640 is an abundant number, since it is smaller than the sum of its proper divisors (63814768).

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

46990640 is a wasteful number, since it uses less digits than its factorization.

46990640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 46990640 is about 6854.9719182503. The cubic root of 46990640 is about 360.8586499609.

The spelling of 46990640 in words is "forty-six million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 8273 16546 33092 41365 66184 82730 132368 165460 330920 587383 661840 1174766 2349532 2936915 4699064 5873830 9398128 11747660 23495320 46990640