Search a number
-
+
385232148 = 2232712712037
BaseRepresentation
bin10110111101100…
…010110100010100
3222211212211011100
4112331202310110
51242104412043
6102120510100
712355263540
oct2675426424
9884784140
10385232148
111884a9684
12a901b330
1361a70822
143923ca20
1523c47cd3
hex16f62d14

385232148 has 72 divisors (see below), whose sum is σ = 1121748992. Its totient is φ = 109190592.

The previous prime is 385232147. The next prime is 385232149. The reversal of 385232148 is 841232583.

385232148 is a `hidden beast` number, since 385 + 232 + 1 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (385232147) and next prime (385232149).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385232147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25986 + ... + 38022.

Almost surely, 2385232148 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 385232148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560874496).

385232148 is an abundant number, since it is smaller than the sum of its proper divisors (736516844).

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

385232148 is a wasteful number, since it uses less digits than its factorization.

385232148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12181 (or 12176 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 385232148 is about 19627.3316576655. The cubic root of 385232148 is about 727.6248242965.

The spelling of 385232148 in words is "three hundred eighty-five million, two hundred thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 12037 16002 24074 32004 36111 48148 72222 84259 108333 144444 168518 216666 252777 337036 433332 505554 758331 1011108 1516662 1528699 3033324 3057398 4586097 6114796 9172194 10700893 13758291 18344388 21401786 27516582 32102679 42803572 55033164 64205358 96308037 128410716 192616074 385232148