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488735072 = 25737109541
BaseRepresentation
bin11101001000011…
…000000101100000
31021001122022110222
4131020120011200
52000104010242
6120255142212
715053115410
oct3510300540
91231568428
10488735072
11230972991
12117814968
137a33c867
1448ca2640
152cd905d2
hex1d218160

488735072 has 96 divisors (see below), whose sum is σ = 1141842240. Its totient is φ = 201553920.

The previous prime is 488735069. The next prime is 488735077. The reversal of 488735072 is 270537884.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488735077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903122 + ... + 903662.

It is an arithmetic number, because the mean of its divisors is an integer number (11894190).

Almost surely, 2488735072 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 488735072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570921120).

488735072 is an abundant number, since it is smaller than the sum of its proper divisors (653107168).

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

488735072 is a wasteful number, since it uses less digits than its factorization.

488735072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 488735072 is about 22107.3533467939. The cubic root of 488735072 is about 787.6945400625.

The spelling of 488735072 in words is "four hundred eighty-eight million, seven hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 109 112 148 218 224 259 296 436 518 541 592 763 872 1036 1082 1184 1526 1744 2072 2164 3052 3488 3787 4033 4144 4328 6104 7574 8066 8288 8656 12208 15148 16132 17312 20017 24416 28231 30296 32264 40034 56462 58969 60592 64528 80068 112924 117938 121184 129056 140119 160136 225848 235876 280238 320272 412783 451696 471752 560476 640544 825566 903392 943504 1120952 1651132 1887008 2181853 2241904 3302264 4363706 4483808 6604528 8727412 13209056 15272971 17454824 30545942 34909648 61091884 69819296 122183768 244367536 488735072