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42154464 = 25311219191
BaseRepresentation
bin1010000011001…
…1100111100000
32221022200001110
42200303213200
541242420324
64103303320
71021210212
oct240634740
987280043
1042154464
1121882300
121214ab40
13896c391
1458545b2
153a7a329
hex28339e0

42154464 has 144 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 12038400.

The previous prime is 42154459. The next prime is 42154493. The reversal of 42154464 is 46445124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220609 + ... + 220799.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 242154464 is an apocalyptic number.

42154464 is a gapful number since it is divisible by the number (44) 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 42154464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

42154464 is an abundant number, since it is smaller than the sum of its proper divisors (86546976).

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

42154464 is a wasteful number, since it uses less digits than its factorization.

42154464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42154464 is about 6492.6469178602. The cubic root of 42154464 is about 348.0282709230.

Adding to 42154464 its reverse (46445124), we get a palindrome (88599588).

The spelling of 42154464 in words is "forty-two million, one hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 191 209 228 242 264 304 352 363 382 418 456 484 528 573 608 627 726 764 836 912 968 1056 1146 1254 1452 1528 1672 1824 1936 2101 2292 2299 2508 2904 3056 3344 3629 3872 4202 4584 4598 5016 5808 6112 6303 6688 6897 7258 8404 9168 9196 10032 10887 11616 12606 13794 14516 16808 18336 18392 20064 21774 23111 25212 27588 29032 33616 36784 39919 43548 46222 50424 55176 58064 67232 69333 73568 79838 87096 92444 100848 110352 116128 119757 138666 159676 174192 184888 201696 220704 239514 277332 319352 348384 369776 439109 479028 554664 638704 739552 878218 958056 1109328 1277408 1317327 1756436 1916112 2218656 2634654 3512872 3832224 5269308 7025744 10538616 14051488 21077232 42154464