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1042335216 = 24341324759
BaseRepresentation
bin111110001000001…
…100010111110000
32200122100010010000
4332020030113300
54113314211331
6251232510000
734554463116
oct7610142760
92618303100
101042335216
1149540996a
122510ab300
13137c40900
149c60bab6
15617950e6
hex3e20c5f0

1042335216 has 150 divisors (see below), whose sum is σ = 3267421080. Its totient is φ = 320651136.

The previous prime is 1042335209. The next prime is 1042335277. The reversal of 1042335216 is 6125332401.

1042335216 is a `hidden beast` number, since 104 + 2 + 33 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1042335216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 216645 + ... + 221403.

Almost surely, 21042335216 is an apocalyptic number.

1042335216 is a gapful number since it is divisible by the number (16) 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 1042335216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633710540).

1042335216 is an abundant number, since it is smaller than the sum of its proper divisors (2225085864).

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

1042335216 is a wasteful number, since it uses less digits than its factorization.

1042335216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1042335216 is about 32285.2166788454. The cubic root of 1042335216 is about 1013.9171529946.

Adding to 1042335216 its reverse (6125332401), we get a palindrome (7167667617).

The spelling of 1042335216 in words is "one billion, forty-two million, three hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1014 1053 1296 1352 1404 1521 1872 2028 2106 2704 2808 3042 4056 4212 4563 4759 5616 6084 8112 8424 9126 9518 12168 13689 14277 16848 18252 19036 24336 27378 28554 36504 38072 42831 54756 57108 61867 73008 76144 85662 109512 114216 123734 128493 171324 185601 219024 228432 247468 256986 342648 371202 385479 494936 513972 556803 685296 742404 770958 804271 989872 1027944 1113606 1484808 1541916 1608542 1670409 2055888 2227212 2412813 2969616 3083832 3217084 3340818 4454424 4825626 5011227 6167664 6434168 6681636 7238439 8908848 9651252 10022454 12868336 13363272 14476878 19302504 20044908 21715317 26726544 28953756 38605008 40089816 43430634 57907512 65145951 80179632 86861268 115815024 130291902 173722536 260583804 347445072 521167608 1042335216