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46013940 = 22335723747
BaseRepresentation
bin1010111110000…
…1110111110100
310012120202021000
42233201313310
543234421230
64322123300
71066053300
oct257416764
9105522230
1046013940
1123a78a55
12134b0530
1396c0cab
14617ad00
15408db60
hex2be1df4

46013940 has 288 divisors, whose sum is σ = 174666240. Its totient is φ = 10015488.

The previous prime is 46013927. The next prime is 46013963. The reversal of 46013940 is 4931064.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 978997 + ... + 979043.

It is an arithmetic number, because the mean of its divisors is an integer number (606480).

Almost surely, 246013940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46013940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

46013940 is an abundant number, since it is smaller than the sum of its proper divisors (128652300).

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

46013940 is a wasteful number, since it uses less digits than its factorization.

46013940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 46013940 is about 6783.3575757143. The cubic root of 46013940 is about 358.3409774224.

It can be divided in two parts, 460 and 13940, that added together give a square (14400 = 1202).

The spelling of 46013940 in words is "forty-six million, thirteen thousand, nine hundred forty".