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42048328824 = 2333316279619
BaseRepresentation
bin100111001010010001…
…101001010001111000
311000112102100102102000
4213022101221101320
51142103333010244
631152225341000
73015665616645
oct471221512170
9130472312360
1042048328824
1116918204887
128195a97760
133c7154b458
14206c646dcc
151161744169
hex9ca469478

42048328824 has 64 divisors (see below), whose sum is σ = 120568704000. Its totient is φ = 13563974880.

The previous prime is 42048328823. The next prime is 42048328831. The reversal of 42048328824 is 42882384024.

It is a self number, because there is not a number n which added to its sum of digits gives 42048328824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048328823) 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, 3133114 + ... + 3146505.

It is an arithmetic number, because the mean of its divisors is an integer number (1883886000).

Almost surely, 242048328824 is an apocalyptic number.

It is an amenable number.

42048328824 is an abundant number, since it is smaller than the sum of its proper divisors (78520375176).

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

42048328824 is a wasteful number, since it uses less digits than its factorization.

42048328824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279665 (or 6279655 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 42048328824 in words is "forty-two billion, forty-eight million, three hundred twenty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 6279619 12559238 18838857 25118476 37677714 50236952 56516571 75355428 113033142 150710856 169549713 194668189 226066284 339099426 389336378 452132568 584004567 678198852 778672756 1168009134 1356397704 1557345512 1752013701 2336018268 3504027402 4672036536 5256041103 7008054804 10512082206 14016109608 21024164412 42048328824