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546428148 = 223767791229
BaseRepresentation
bin100000100100011…
…101010011110100
31102002012102111120
4200210131103310
52104341200043
6130115503540
716353363660
oct4044352364
91362172446
10546428148
11260498612
12132bb7bb0
138928c786
14527dd8a0
1532e89983
hex2091d4f4

546428148 has 96 divisors (see below), whose sum is σ = 1498828800. Its totient is φ = 151721856.

The previous prime is 546428143. The next prime is 546428189. The reversal of 546428148 is 841824645.

It is a super-3 number, since 3×5464281483 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546428143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 443998 + ... + 445226.

It is an arithmetic number, because the mean of its divisors is an integer number (15612800).

Almost surely, 2546428148 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 546428148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749414400).

546428148 is an abundant number, since it is smaller than the sum of its proper divisors (952400652).

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

546428148 is a wasteful number, since it uses less digits than its factorization.

546428148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1387 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 546428148 is about 23375.8026172365. The cubic root of 546428148 is about 817.5437842797.

The spelling of 546428148 in words is "five hundred forty-six million, four hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 79 84 134 158 201 237 268 316 402 469 474 553 804 938 948 1106 1229 1407 1659 1876 2212 2458 2814 3318 3687 4916 5293 5628 6636 7374 8603 10586 14748 15879 17206 21172 25809 31758 34412 37051 51618 63516 74102 82343 97091 103236 111153 148204 164686 194182 222306 247029 291273 329372 388364 444612 494058 576401 582546 679637 988116 1152802 1165092 1359274 1729203 2038911 2305604 2718548 3458406 4077822 6505097 6916812 8155644 13010194 19515291 26020388 39030582 45535679 78061164 91071358 136607037 182142716 273214074 546428148