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46000152 = 2332112412
BaseRepresentation
bin1010111101111…
…0100000011000
310012120001100100
42233132200120
543234001102
64321535400
71065665142
oct257364030
9105501310
1046000152
1123a69660
12134a4560
1396b7933
146175c92
154089a1c
hex2bde818

46000152 has 72 divisors (see below), whose sum is σ = 136475820. Its totient is φ = 13881600.

The previous prime is 46000111. The next prime is 46000183. The reversal of 46000152 is 25100064.

It is a happy number.

46000152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190752 + ... + 190992.

Almost surely, 246000152 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 46000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68237910).

46000152 is an abundant number, since it is smaller than the sum of its proper divisors (90475668).

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

46000152 is a wasteful number, since it uses less digits than its factorization.

46000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 46000152 is about 6782.3411887047. The cubic root of 46000152 is about 358.3051817557.

The spelling of 46000152 in words is "forty-six million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 241 264 396 482 723 792 964 1446 1928 2169 2651 2892 4338 5302 5784 7953 8676 10604 15906 17352 21208 23859 31812 47718 58081 63624 95436 116162 174243 190872 232324 348486 464648 522729 638891 696972 1045458 1277782 1393944 1916673 2090916 2555564 3833346 4181832 5111128 5750019 7666692 11500038 15333384 23000076 46000152