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46990944 = 253271113163
BaseRepresentation
bin1011001101000…
…0011001100000
310021102101110100
42303100121200
544012202234
64355102400
71110262560
oct263203140
9107371410
1046990944
1124585aa0
12138a1a00
1399738c0
146352da0
1541d3399
hex2cd0660

46990944 has 288 divisors, whose sum is σ = 180520704. Its totient is φ = 11197440.

The previous prime is 46990939. The next prime is 46990973. The reversal of 46990944 is 44909964.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×469909442 = 4416297636022272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46990944.

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, 288207 + ... + 288369.

It is an arithmetic number, because the mean of its divisors is an integer number (626808).

Almost surely, 246990944 is an apocalyptic number.

46990944 is a gapful number since it is divisible by the number (44) 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 46990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90260352).

46990944 is an abundant number, since it is smaller than the sum of its proper divisors (133529760).

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

46990944 is a wasteful number, since it uses less digits than its factorization.

46990944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 46990944 is about 6854.9940919012. The cubic root of 46990944 is about 360.8594281357.

The spelling of 46990944 in words is "forty-six million, nine hundred ninety thousand, nine hundred forty-four".