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42985296 = 2433195237
BaseRepresentation
bin1010001111111…
…0011101010000
32222212212202000
42203332131100
542001012141
64133154000
71031240364
oct243763520
988785660
1042985296
112229a542
121248b900
138ba05b3
1459cd2a4
153b915b6
hex28fe750

42985296 has 80 divisors (see below), whose sum is σ = 129902400. Its totient is φ = 13571712.

The previous prime is 42985291. The next prime is 42985303. The reversal of 42985296 is 69258924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42985291) 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, 5590 + ... + 10826.

It is an arithmetic number, because the mean of its divisors is an integer number (1623780).

Almost surely, 242985296 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 42985296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64951200).

42985296 is an abundant number, since it is smaller than the sum of its proper divisors (86917104).

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

42985296 is a wasteful number, since it uses less digits than its factorization.

42985296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5261 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 42985296 is about 6556.3172589496. The cubic root of 42985296 is about 350.2998681798.

The spelling of 42985296 in words is "forty-two million, nine hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 5237 8208 10474 15711 20948 31422 41896 47133 62844 83792 94266 99503 125688 141399 188532 199006 251376 282798 298509 377064 398012 565596 597018 754128 796024 895527 1131192 1194036 1592048 1791054 2262384 2388072 2686581 3582108 4776144 5373162 7164216 10746324 14328432 21492648 42985296