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42489792 = 263367367
BaseRepresentation
bin1010001000010…
…1011111000000
32221221201001000
42202011133000
541334133132
64114412000
71024104642
oct242053700
987851030
1042489792
1121a91234
1212291000
138a58bb7
145900892
153ae487c
hex28857c0

42489792 has 112 divisors (see below), whose sum is σ = 127121920. Its totient is φ = 13913856.

The previous prime is 42489787. The next prime is 42489829. The reversal of 42489792 is 29798424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115593 + ... + 115959.

Almost surely, 242489792 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 42489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63560960).

42489792 is an abundant number, since it is smaller than the sum of its proper divisors (84632128).

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

42489792 is a wasteful number, since it uses less digits than its factorization.

42489792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 42489792 is about 6518.4194403245. The cubic root of 42489792 is about 348.9486600834.

It can be divided in two parts, 4 and 2489792, that added together give a triangular number (2489796 = T2231).

The spelling of 42489792 in words is "forty-two million, four hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 367 402 432 536 576 603 734 804 864 1072 1101 1206 1468 1608 1728 1809 2144 2202 2412 2936 3216 3303 3618 4288 4404 4824 5872 6432 6606 7236 8808 9648 9909 11744 12864 13212 14472 17616 19296 19818 23488 24589 26424 28944 35232 38592 39636 49178 52848 57888 70464 73767 79272 98356 105696 115776 147534 158544 196712 211392 221301 295068 317088 393424 442602 590136 634176 663903 786848 885204 1180272 1327806 1573696 1770408 2360544 2655612 3540816 4721088 5311224 7081632 10622448 14163264 21244896 42489792