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42197232 = 2437311233
BaseRepresentation
bin1010000011111…
…0000011110000
32221101211201110
42200332003300
541300302412
64104233320
71021446000
oct240760360
987354643
1042197232
1121901450
121216b840
13898599c
145866000
153a87d3c
hex283e0f0

42197232 has 160 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 10913280.

The previous prime is 42197227. The next prime is 42197237. The reversal of 42197232 is 23279124.

It is an interprime number because it is at equal distance from previous prime (42197227) and next prime (42197237).

It is a self number, because there is not a number n which added to its sum of digits gives 42197232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42197237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180988 + ... + 181220.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 242197232 is an apocalyptic number.

42197232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42197232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

42197232 is an abundant number, since it is smaller than the sum of its proper divisors (97079568).

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

42197232 is a wasteful number, since it uses less digits than its factorization.

42197232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 42197232 is about 6495.9396548921. The cubic root of 42197232 is about 348.1459290214.

The spelling of 42197232 in words is "forty-two million, one hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 233 264 294 308 336 343 392 462 466 528 539 588 616 686 699 784 924 932 1029 1078 1176 1232 1372 1398 1617 1631 1848 1864 2058 2156 2352 2563 2744 2796 3234 3262 3696 3728 3773 4116 4312 4893 5126 5488 5592 6468 6524 7546 7689 8232 8624 9786 10252 11184 11319 11417 12936 13048 15092 15378 16464 17941 19572 20504 22638 22834 25872 26096 30184 30756 34251 35882 39144 41008 45276 45668 53823 60368 61512 68502 71764 78288 79919 90552 91336 107646 123024 125587 137004 143528 159838 181104 182672 215292 239757 251174 274008 287056 319676 376761 430584 479514 502348 548016 639352 753522 861168 879109 959028 1004696 1278704 1507044 1758218 1918056 2009392 2637327 3014088 3516436 3836112 5274654 6028176 7032872 10549308 14065744 21098616 42197232