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488379344 = 24195973373
BaseRepresentation
bin11101000111000…
…001001111010000
31021000222020111212
4131013001033100
52000011114334
6120243355252
715050104325
oct3507011720
91230866455
10488379344
1123074a6a2
12117682b28
137a24697b
1448c0cb4c
152cd1eece
hex1d1c13d0

488379344 has 80 divisors (see below), whose sum is σ = 1029547200. Its totient is φ = 223699968.

The previous prime is 488379319. The next prime is 488379347. The reversal of 488379344 is 443973884.

It is a junction number, because it is equal to n+sod(n) for n = 488379292 and 488379301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488379347) 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 15 ways as a sum of consecutive naturals, for example, 1309142 + ... + 1309514.

It is an arithmetic number, because the mean of its divisors is an integer number (12869340).

Almost surely, 2488379344 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 488379344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514773600).

488379344 is an abundant number, since it is smaller than the sum of its proper divisors (541167856).

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

488379344 is a wasteful number, since it uses less digits than its factorization.

488379344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 488379344 is about 22099.3064144556. The cubic root of 488379344 is about 787.5033846835.

The spelling of 488379344 in words is "four hundred eighty-eight million, three hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 59 73 76 118 146 152 236 292 304 373 472 584 746 944 1121 1168 1387 1492 2242 2774 2984 4307 4484 5548 5968 7087 8614 8968 11096 14174 17228 17936 22007 22192 27229 28348 34456 44014 54458 56696 68912 81833 88028 108916 113392 163666 176056 217832 327332 352112 418133 435664 517351 654664 836266 1034702 1309328 1606511 1672532 2069404 3213022 3345064 4138808 6426044 6690128 8277616 12852088 25704176 30523709 61047418 122094836 244189672 488379344