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42540696 = 233211219257
BaseRepresentation
bin1010001001000…
…1111010011000
32222001021212100
42202101322120
541342300241
64115443400
71024406232
oct242217230
988037770
1042540696
1122016500
12122b6560
138a76113
145915252
153b049b6
hex2891e98

42540696 has 144 divisors (see below), whose sum is σ = 133824600. Its totient is φ = 12165120.

The previous prime is 42540691. The next prime is 42540697. The reversal of 42540696 is 69604524.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42540696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540691) 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 35 ways as a sum of consecutive naturals, for example, 165400 + ... + 165656.

Almost surely, 242540696 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 42540696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66912300).

42540696 is an abundant number, since it is smaller than the sum of its proper divisors (91283904).

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

42540696 is a wasteful number, since it uses less digits than its factorization.

42540696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42540696 is about 6522.3228990905. The cubic root of 42540696 is about 349.0879546684.

The spelling of 42540696 in words is "forty-two million, five hundred forty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 257 264 342 363 396 418 456 484 514 627 684 726 771 792 836 968 1028 1089 1254 1368 1452 1542 1672 1881 2056 2178 2299 2313 2508 2827 2904 3084 3762 4356 4598 4626 4883 5016 5654 6168 6897 7524 8481 8712 9196 9252 9766 11308 13794 14649 15048 16962 18392 18504 19532 20691 22616 25443 27588 29298 31097 33924 39064 41382 43947 50886 53713 55176 58596 62194 67848 82764 87894 93291 101772 107426 117192 124388 161139 165528 175788 186582 203544 214852 248776 279873 322278 351576 373164 429704 483417 559746 590843 644556 746328 966834 1119492 1181686 1289112 1772529 1933668 2238984 2363372 3545058 3867336 4726744 5317587 7090116 10635174 14180232 21270348 42540696