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42079744 = 29759199
BaseRepresentation
bin1010000010000…
…1011000000000
32221011212120001
42200201120000
541233022434
64101525344
71020446320
oct240413000
987155501
1042079744
1121831153
1212113854
138944375
145835280
153a63114
hex2821600

42079744 has 80 divisors (see below), whose sum is σ = 98208000. Its totient is φ = 17639424.

The previous prime is 42079729. The next prime is 42079747. The reversal of 42079744 is 44797024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42079747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211357 + ... + 211555.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 242079744 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 42079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104000).

42079744 is an abundant number, since it is smaller than the sum of its proper divisors (56128256).

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

42079744 is an equidigital number, since it uses as much as digits as its factorization.

42079744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 42079744 is about 6486.8901640154. The cubic root of 42079744 is about 347.8225192678.

The spelling of 42079744 in words is "forty-two million, seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 199 224 236 256 398 413 448 472 512 796 826 896 944 1393 1592 1652 1792 1888 2786 3184 3304 3584 3776 5572 6368 6608 7552 11144 11741 12736 13216 15104 22288 23482 25472 26432 30208 44576 46964 50944 52864 82187 89152 93928 101888 105728 164374 178304 187856 211456 328748 356608 375712 657496 713216 751424 1314992 1502848 2629984 3005696 5259968 6011392 10519936 21039872 42079744