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488348028 = 223471971093
BaseRepresentation
bin11101000110111…
…001100101111100
31021000220122120000
4131012321211330
52000004114103
6120242554300
715046614120
oct3506714574
91230818500
10488348028
11230729113
12117668990
137a23563c
1448c01580
152cd15aa3
hex1d1b997c

488348028 has 120 divisors (see below), whose sum is σ = 1467762912. Its totient is φ = 138692736.

The previous prime is 488348017. The next prime is 488348039. The reversal of 488348028 is 820843884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (488348017) and next prime (488348039).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 446250 + ... + 447342.

Almost surely, 2488348028 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 488348028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733881456).

488348028 is an abundant number, since it is smaller than the sum of its proper divisors (979414884).

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

488348028 is a wasteful number, since it uses less digits than its factorization.

488348028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 488348028 is about 22098.5978740734. The cubic root of 488348028 is about 787.4865521513.

The spelling of 488348028 in words is "four hundred eighty-eight million, three hundred forty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 197 252 324 378 394 567 591 756 788 1093 1134 1182 1379 1773 2186 2268 2364 2758 3279 3546 4137 4372 5319 5516 6558 7092 7651 8274 9837 10638 12411 13116 15302 15957 16548 19674 21276 22953 24822 29511 30604 31914 37233 39348 45906 49644 59022 63828 68859 74466 88533 91812 111699 118044 137718 148932 177066 206577 215321 223398 275436 354132 413154 430642 446796 619731 645963 826308 861284 1239462 1291926 1507247 1937889 2478924 2583852 3014494 3875778 4521741 5813667 6028988 7751556 9043482 11627334 13565223 17441001 18086964 23254668 27130446 34882002 40695669 54260892 69764004 81391338 122087007 162782676 244174014 488348028