Search a number
-
+
381613752 = 233213407707
BaseRepresentation
bin10110101111101…
…111011010111000
3222121001222122200
4112233233122320
51240143120002
6101511150200
712312443352
oct2657573270
9877058580
10381613752
11186458073
12a7975360
13610a4870
143897a0d2
1523780b1c
hex16bef6b8

381613752 has 48 divisors (see below), whose sum is σ = 1113042840. Its totient is φ = 117419328.

The previous prime is 381613747. The next prime is 381613781. The reversal of 381613752 is 257316183.

381613752 is a `hidden beast` number, since 38 + 1 + 613 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202918 + ... + 204789.

Almost surely, 2381613752 is an apocalyptic number.

It is an amenable number.

381613752 is an abundant number, since it is smaller than the sum of its proper divisors (731429088).

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

381613752 is a wasteful number, since it uses less digits than its factorization.

381613752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407732 (or 407725 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 381613752 is about 19534.9367032504. The cubic root of 381613752 is about 725.3395172378.

The spelling of 381613752 in words is "three hundred eighty-one million, six hundred thirteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 407707 815414 1223121 1630828 2446242 3261656 3669363 4892484 5300191 7338726 9784968 10600382 14677452 15900573 21200764 29354904 31801146 42401528 47701719 63602292 95403438 127204584 190806876 381613752