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46890480 = 243571319113
BaseRepresentation
bin1011001011011…
…1110111110000
310021020021122110
42302313313300
544000443410
64353005320
71106363640
oct262676760
9107207573
1046890480
112451756a
1213853840
139939c60
146328520
1541b3720
hex2cb7df0

46890480 has 320 divisors, whose sum is σ = 189987840. Its totient is φ = 9289728.

The previous prime is 46890469. The next prime is 46890497. The reversal of 46890480 is 8409864.

It is a super-2 number, since 2×468904802 = 4397434229260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414904 + ... + 415016.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 246890480 is an apocalyptic number.

46890480 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 46890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

46890480 is an abundant number, since it is smaller than the sum of its proper divisors (143097360).

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

46890480 is a wasteful number, since it uses less digits than its factorization.

46890480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 46890480 is about 6847.6623748546. The cubic root of 46890480 is about 360.6020789167.

The spelling of 46890480 in words is "forty-six million, eight hundred ninety thousand, four hundred eighty".