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488873520 = 243256111131
BaseRepresentation
bin11101001000111…
…001111000110000
31021001220100101200
4131020321320300
52000122423040
6120302131200
715054233142
oct3510717060
91231810350
10488873520
11230a57a03
12117880b00
137a38a895
1448cdac92
152cdbb630
hex1d239e30

488873520 has 120 divisors (see below), whose sum is σ = 1668864912. Its totient is φ = 128217600.

The previous prime is 488873519. The next prime is 488873527. The reversal of 488873520 is 25378884.

488873520 is a `hidden beast` number, since 48 + 8 + 87 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (488873527) 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, 38355 + ... + 49485.

Almost surely, 2488873520 is an apocalyptic number.

488873520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488873520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834432456).

488873520 is an abundant number, since it is smaller than the sum of its proper divisors (1179991392).

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

488873520 is a wasteful number, since it uses less digits than its factorization.

488873520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11211 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 488873520 is about 22110.4843908947. The cubic root of 488873520 is about 787.7689119420.

The spelling of 488873520 in words is "four hundred eighty-eight million, eight hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 11131 14640 21960 22262 33393 43920 44524 55655 66786 89048 100179 111310 133572 166965 178096 200358 222620 267144 333930 400716 445240 500895 534288 667860 678991 801432 890480 1001790 1335720 1357982 1602864 2003580 2036973 2671440 2715964 3394955 4007160 4073946 5431928 6110919 6789910 8014320 8147892 10184865 10863856 12221838 13579820 16295784 20369730 24443676 27159640 30554595 32591568 40739460 48887352 54319280 61109190 81478920 97774704 122218380 162957840 244436760 488873520