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42041748 = 22371759499
BaseRepresentation
bin1010000001100…
…0000110010100
32221002221102210
42200120012110
541230313443
64101033420
71020230460
oct240300624
987087383
1042041748
1121805651
12120b5870
13892cc98
1458254a0
153a56c33
hex2818194

42041748 has 96 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 11091456.

The previous prime is 42041743. The next prime is 42041759. The reversal of 42041748 is 84714024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041743) 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, 84003 + ... + 84501.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 242041748 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 42041748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

42041748 is an abundant number, since it is smaller than the sum of its proper divisors (78918252).

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

42041748 is a wasteful number, since it uses less digits than its factorization.

42041748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 42041748 is about 6483.9608265319. The cubic root of 42041748 is about 347.7177986988.

The spelling of 42041748 in words is "forty-two million, forty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 59 68 84 102 118 119 177 204 236 238 354 357 413 476 499 708 714 826 998 1003 1239 1428 1497 1652 1996 2006 2478 2994 3009 3493 4012 4956 5988 6018 6986 7021 8483 10479 12036 13972 14042 16966 20958 21063 25449 28084 29441 33932 41916 42126 50898 58882 59381 84252 88323 101796 117764 118762 176646 178143 206087 237524 353292 356286 412174 500497 618261 712572 824348 1000994 1236522 1501491 2001988 2473044 3002982 3503479 6005964 7006958 10510437 14013916 21020874 42041748