Search a number
-
+
46074240 = 2732519421
BaseRepresentation
bin1010111111000…
…0100110000000
310012200210222100
42233300212000
543243333430
64323310400
71066424142
oct257604600
9105623870
1046074240
112400a293
121351b400
139712584
146194c92
1540a1960
hex2bf0980

46074240 has 192 divisors, whose sum is σ = 167871600. Its totient is φ = 11612160.

The previous prime is 46074229. The next prime is 46074247. The reversal of 46074240 is 4247064.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46074247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109230 + ... + 109650.

Almost surely, 246074240 is an apocalyptic number.

46074240 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 46074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83935800).

46074240 is an abundant number, since it is smaller than the sum of its proper divisors (121797360).

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

46074240 is a wasteful number, since it uses less digits than its factorization.

46074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 46074240 is about 6787.8008220631. The cubic root of 46074240 is about 358.4974410863.

The spelling of 46074240 in words is "forty-six million, seventy-four thousand, two hundred forty".