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488400040032 = 25316331211659
BaseRepresentation
bin1110001101101101110…
…10010011000001100000
31201200122102211200122120
413012312322103001200
531000220402240112
61012211243504240
750200002562152
oct7066672230140
91650572750576
10488400040032
111791470a9923
127a7a4228080
1337095b3cb38
14198d27baad2
15ca87582e8c
hex71b6e93060

488400040032 has 48 divisors (see below), whose sum is σ = 1289915484480. Its totient is φ = 161801235072.

The previous prime is 488400040003. The next prime is 488400040043. The reversal of 488400040032 is 230040004884.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4884000400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488400039975 and 488400040002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15590182 + ... + 15621477.

It is an arithmetic number, because the mean of its divisors is an integer number (26873239260).

Almost surely, 2488400040032 is an apocalyptic number.

It is an amenable number.

488400040032 is an abundant number, since it is smaller than the sum of its proper divisors (801515444448).

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

488400040032 is a wasteful number, since it uses less digits than its factorization.

488400040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31211835 (or 31211827 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 488400040032 in words is "four hundred eighty-eight billion, four hundred million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648 31211659 62423318 93634977 124846636 187269954 249693272 374539908 499386544 749079816 998773088 1498159632 2996319264 5087500417 10175000834 15262501251 20350001668 30525002502 40700003336 61050005004 81400006672 122100010008 162800013344 244200020016 488400040032