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488148228 = 2233192310343
BaseRepresentation
bin11101000110001…
…000110100000100
31021000112111111000
4131012020310010
51444431220403
6120234413300
715045122451
oct3506106404
91230474430
10488148228
11230601a97
12117591230
137a195709
1448b8c828
152ccc67a3
hex1d188d04

488148228 has 96 divisors (see below), whose sum is σ = 1390233600. Its totient is φ = 147435552.

The previous prime is 488148137. The next prime is 488148229. The reversal of 488148228 is 822841884.

488148228 is a `hidden beast` number, since 488 + 148 + 2 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (488148229) 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 31 ways as a sum of consecutive naturals, for example, 42025 + ... + 52367.

It is an arithmetic number, because the mean of its divisors is an integer number (14481600).

Almost surely, 2488148228 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 488148228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695116800).

488148228 is an abundant number, since it is smaller than the sum of its proper divisors (902085372).

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

488148228 is a wasteful number, since it uses less digits than its factorization.

488148228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10390 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 488148228 is about 22094.0767627887. The cubic root of 488148228 is about 787.3791415434.

The spelling of 488148228 in words is "four hundred eighty-eight million, one hundred forty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 414 437 513 621 684 828 874 1026 1242 1311 1748 2052 2484 2622 3933 5244 7866 10343 11799 15732 20686 23598 31029 41372 47196 62058 93087 124116 186174 196517 237889 279261 372348 393034 475778 558522 589551 713667 786068 951556 1117044 1179102 1427334 1768653 2141001 2358204 2854668 3537306 4282002 4519891 5305959 6423003 7074612 8564004 9039782 10611918 12846006 13559673 18079564 21223836 25692012 27119346 40679019 54238692 81358038 122037057 162716076 244074114 488148228