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32482887040 = 275449113039
BaseRepresentation
bin11110010000001000…
…011000010110000000
310002211210021122002101
4132100020120112000
51013011104341130
622531125000144
72226645661402
oct362010302600
9102753248071
1032482887040
111285981989a
126366553054
1330a88b2226
1418020c2b72
15ca1ac41ca
hex790218580

32482887040 has 64 divisors (see below), whose sum is σ = 77828040000. Its totient is φ = 12964102144.

The previous prime is 32482887023. The next prime is 32482887053. The reversal of 32482887040 is 4078828423.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230841 + ... + 343879.

It is an arithmetic number, because the mean of its divisors is an integer number (1216063125).

Almost surely, 232482887040 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 32482887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38914020000).

32482887040 is an abundant number, since it is smaller than the sum of its proper divisors (45345152960).

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

32482887040 is a wasteful number, since it uses less digits than its factorization.

32482887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113507 (or 113495 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 32482887040 in words is "thirty-two billion, four hundred eighty-two million, eight hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 449 640 898 1796 2245 3592 4490 7184 8980 14368 17960 28736 35920 57472 71840 113039 143680 226078 287360 452156 565195 904312 1130390 1808624 2260780 3617248 4521560 7234496 9043120 14468992 18086240 36172480 50754511 72344960 101509022 203018044 253772555 406036088 507545110 812072176 1015090220 1624144352 2030180440 3248288704 4060360880 6496577408 8120721760 16241443520 32482887040