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42487935328 = 2523479471297
BaseRepresentation
bin100111100100011110…
…100111000101100000
311001200001112202011101
4213210132213011200
51144003402412303
631304011524144
73032614330366
oct474436470540
9131601482141
1042487935328
1117023371743
128299159654
134011649447
1420b0b9b636
15118a12cd1d
hex9e47a7160

42487935328 has 96 divisors (see below), whose sum is σ = 89305058304. Its totient is φ = 19851651072.

The previous prime is 42487935283. The next prime is 42487935359. The reversal of 42487935328 is 82353978424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32757976 + ... + 32759272.

It is an arithmetic number, because the mean of its divisors is an integer number (930261024).

Almost surely, 242487935328 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 42487935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44652529152).

42487935328 is an abundant number, since it is smaller than the sum of its proper divisors (46817122976).

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

42487935328 is a wasteful number, since it uses less digits than its factorization.

42487935328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2316 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 42487935328 in words is "forty-two billion, four hundred eighty-seven million, nine hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 736 752 947 1081 1297 1504 1894 2162 2594 3788 4324 5188 7576 8648 10376 15152 17296 20752 21781 29831 30304 34592 41504 43562 44509 59662 60959 87124 89018 119324 121918 174248 178036 238648 243836 348496 356072 477296 487672 696992 712144 954592 975344 1023707 1228259 1402057 1424288 1950688 2047414 2456518 2804114 4094828 4913036 5608228 8189656 9826072 11216456 16379312 19652144 22432912 28249957 32758624 39304288 44865824 56499914 57728173 112999828 115456346 225999656 230912692 451999312 461825384 903998624 923650768 1327747979 1847301536 2655495958 5310991916 10621983832 21243967664 42487935328