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42751368 = 23331119947
BaseRepresentation
bin1010001100010…
…1010110001000
32222102222212000
42203011112020
541421020433
64124151000
71026244362
oct243052610
988388760
1042751368
112214a810
1212398460
138b1ac8a
14596bd32
153b47113
hex28c5588

42751368 has 128 divisors (see below), whose sum is σ = 136512000. Its totient is φ = 12260160.

The previous prime is 42751367. The next prime is 42751409. The reversal of 42751368 is 86315724.

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

It is not an unprimeable number, because it can be changed into a prime (42751367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44671 + ... + 45617.

It is an arithmetic number, because the mean of its divisors is an integer number (1066500).

Almost surely, 242751368 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 42751368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68256000).

42751368 is an abundant number, since it is smaller than the sum of its proper divisors (93760632).

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

42751368 is a wasteful number, since it uses less digits than its factorization.

42751368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42751368 is about 6538.4530280488. The cubic root of 42751368 is about 349.6632625209.

The spelling of 42751368 in words is "forty-two million, seven hundred fifty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 947 1026 1188 1254 1368 1672 1881 1894 2052 2376 2508 2841 3762 3788 4104 5016 5643 5682 7524 7576 8523 10417 11286 11364 15048 17046 17993 20834 22572 22728 25569 31251 34092 35986 41668 45144 51138 53979 62502 68184 71972 83336 93753 102276 107958 125004 143944 161937 187506 197923 204552 215916 250008 281259 323874 375012 395846 431832 485811 562518 593769 647748 750024 791692 971622 1125036 1187538 1295496 1583384 1781307 1943244 2250072 2375076 3562614 3886488 4750152 5343921 7125228 10687842 14250456 21375684 42751368