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42122496 = 283134219
BaseRepresentation
bin1010000010101…
…1110100000000
32221021001012110
42200223310000
541240404441
64102455320
71021015053
oct240536400
987231173
1042122496
1121860289
1212134540
13895a970
145846a9a
153a70b16
hex282bd00

42122496 has 72 divisors (see below), whose sum is σ = 120759520. Its totient is φ = 12957696.

The previous prime is 42122473. The next prime is 42122497. The reversal of 42122496 is 69422124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122497) 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, 7875 + ... + 12093.

Almost surely, 242122496 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 42122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60379760).

42122496 is an abundant number, since it is smaller than the sum of its proper divisors (78637024).

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

42122496 is a wasteful number, since it uses less digits than its factorization.

42122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4237 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 42122496 is about 6490.1845890545. The cubic root of 42122496 is about 347.9402724817.

The spelling of 42122496 in words is "forty-two million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4219 4992 8438 9984 12657 16876 25314 33752 50628 54847 67504 101256 109694 135008 164541 202512 219388 270016 329082 405024 438776 540032 658164 810048 877552 1080064 1316328 1620096 1755104 2632656 3240192 3510208 5265312 7020416 10530624 14040832 21061248 42122496