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42095808 = 2633171433
BaseRepresentation
bin1010000010010…
…1010011000000
32221012200121000
42200211103000
541234031213
64102132000
71020544206
oct240452300
987180530
1042095808
1121842227
1212121000
13894b781
14583b076
153a67c73
hex28254c0

42095808 has 112 divisors (see below), whose sum is σ = 131124960. Its totient is φ = 13197312.

The previous prime is 42095797. The next prime is 42095813. The reversal of 42095808 is 80859024.

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

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, 28660 + ... + 30092.

Almost surely, 242095808 is an apocalyptic number.

42095808 is a gapful number since it is divisible by the number (48) 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 42095808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65562480).

42095808 is an abundant number, since it is smaller than the sum of its proper divisors (89029152).

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

42095808 is a wasteful number, since it uses less digits than its factorization.

42095808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 42095808 is about 6488.1282354775. The cubic root of 42095808 is about 347.8667742114.

The spelling of 42095808 in words is "forty-two million, ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1433 1632 1728 1836 2448 2866 3264 3672 4299 4896 5732 7344 8598 9792 11464 12897 14688 17196 22928 24361 25794 29376 34392 38691 45856 48722 51588 68784 73083 77382 91712 97444 103176 137568 146166 154764 194888 206352 219249 275136 292332 309528 389776 412704 438498 584664 619056 657747 779552 825408 876996 1169328 1238112 1315494 1559104 1753992 2338656 2476224 2630988 3507984 4677312 5261976 7015968 10523952 14031936 21047904 42095808