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488880840400 = 24525323060417
BaseRepresentation
bin1110001110100111001…
…00011001111011010000
31201201212221112212202121
413013103210121323100
531002211443343100
61012331101024024
750214631402411
oct7072344317320
91651787485677
10488880840400
111793735422a7
127a8b9255014
1337141631bb4
141993a5b5808
15cab48a751a
hex71d3919ed0

488880840400 has 60 divisors (see below), whose sum is σ = 1196697331692. Its totient is φ = 191862661120.

The previous prime is 488880840397. The next prime is 488880840527. The reversal of 488880840400 is 4048088884.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 55464018064 + 433416822336 = 235508^2 + 658344^2 .

It is a super-2 number, since 2×4888808404002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11509009 + ... + 11551408.

Almost surely, 2488880840400 is an apocalyptic number.

488880840400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488880840400 is an abundant number, since it is smaller than the sum of its proper divisors (707816491292).

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

488880840400 is a wasteful number, since it uses less digits than its factorization.

488880840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23060488 (or 23060477 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 488880840400 in words is "four hundred eighty-eight billion, eight hundred eighty million, eight hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 23060417 46120834 92241668 115302085 184483336 230604170 368966672 461208340 576510425 922416680 1153020850 1222202101 1844833360 2306041700 2444404202 4612083400 4888808404 6111010505 9224166800 9777616808 12222021010 19555233616 24444042020 30555052525 48888084040 61110105050 97776168080 122220210100 244440420200 488880840400