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488048440 = 235111958379
BaseRepresentation
bin11101000101110…
…000011100111000
31021000100102121011
4131011300130320
51444420022230
6120232323304
715044225515
oct3505603470
91230312534
10488048440
11230544020
12117543534
137a15c179
1448b6430c
152cca6e2a
hex1d170738

488048440 has 64 divisors (see below), whose sum is σ = 1261008000. Its totient is φ = 168128640.

The previous prime is 488048417. The next prime is 488048443. The reversal of 488048440 is 44840884.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 488048393 and 488048402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488048443) 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, 20830 + ... + 37549.

It is an arithmetic number, because the mean of its divisors is an integer number (19703250).

Almost surely, 2488048440 is an apocalyptic number.

488048440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488048440 is an abundant number, since it is smaller than the sum of its proper divisors (772959560).

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

488048440 is a wasteful number, since it uses less digits than its factorization.

488048440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58420 (or 58416 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 488048440 is about 22091.8183950530. The cubic root of 488048440 is about 787.3254854749.

The spelling of 488048440 in words is "four hundred eighty-eight million, forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 58379 116758 233516 291895 467032 583790 642169 1109201 1167580 1284338 2218402 2335160 2568676 3210845 4436804 5137352 5546005 6421690 8873608 11092010 12201211 12843380 22184020 24402422 25686760 44368040 48804844 61006055 97609688 122012110 244024220 488048440