Search a number
-
+
42109848 = 23331137479
BaseRepresentation
bin1010000010100…
…0101110011000
32221020101212000
42200220232120
541240003343
64102321000
71020633144
oct240505630
987211760
1042109848
1121851830
1212129160
138954c91
145842224
153a6bed3
hex2828b98

42109848 has 128 divisors (see below), whose sum is σ = 131328000. Its totient is φ = 12389760.

The previous prime is 42109843. The next prime is 42109853. The reversal of 42109848 is 84890124.

It is an interprime number because it is at equal distance from previous prime (42109843) and next prime (42109853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42109843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87673 + ... + 88151.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 242109848 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 42109848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664000).

42109848 is an abundant number, since it is smaller than the sum of its proper divisors (89218152).

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

42109848 is a wasteful number, since it uses less digits than its factorization.

42109848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42109848 is about 6489.2101214246. The cubic root of 42109848 is about 347.9054439892.

The spelling of 42109848 in words is "forty-two million, one hundred nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 479 594 666 792 814 888 958 999 1188 1221 1332 1437 1628 1916 1998 2376 2442 2664 2874 3256 3663 3832 3996 4311 4884 5269 5748 7326 7992 8622 9768 10538 10989 11496 12933 14652 15807 17244 17723 21076 21978 25866 29304 31614 34488 35446 42152 43956 47421 51732 53169 63228 70892 87912 94842 103464 106338 126456 141784 142263 159507 189684 194953 212676 284526 319014 379368 389906 425352 478521 569052 584859 638028 779812 957042 1138104 1169718 1276056 1559624 1754577 1914084 2339436 3509154 3828168 4678872 5263731 7018308 10527462 14036616 21054924 42109848