Search a number
-
+
467236968 = 233114379521
BaseRepresentation
bin11011110110010…
…111100001101000
31012120012002121220
4123312113201220
51424103040333
6114210302040
714402306622
oct3366274150
91176162556
10467236968
1121a81a060
12110587920
1375a535a3
14460a7c12
152b0458b3
hex1bd97868

467236968 has 128 divisors (see below), whose sum is σ = 1322956800. Its totient is φ = 136281600.

The previous prime is 467236949. The next prime is 467236969. The reversal of 467236968 is 869632764.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 467236968.

It is not an unprimeable number, because it can be changed into a prime (467236969) 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, 896548 + ... + 897068.

It is an arithmetic number, because the mean of its divisors is an integer number (10335600).

Almost surely, 2467236968 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 467236968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661478400).

467236968 is an abundant number, since it is smaller than the sum of its proper divisors (855719832).

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

467236968 is a wasteful number, since it uses less digits than its factorization.

467236968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 467236968 is about 21615.6648752704. The cubic root of 467236968 is about 775.9714314420.

The spelling of 467236968 in words is "four hundred sixty-seven million, two hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 79 86 88 129 132 158 172 237 258 264 316 344 473 474 516 521 632 869 946 948 1032 1042 1419 1563 1738 1892 1896 2084 2607 2838 3126 3397 3476 3784 4168 5214 5676 5731 6252 6794 6952 10191 10428 11352 11462 12504 13588 17193 20382 20856 22403 22924 27176 34386 37367 40764 41159 44806 45848 67209 68772 74734 81528 82318 89612 112101 123477 134418 137544 149468 164636 179224 224202 246433 246954 268836 298936 329272 448404 452749 492866 493908 537672 739299 896808 905498 985732 987816 1358247 1478598 1769837 1810996 1971464 2716494 2957196 3539674 3621992 5309511 5432988 5914392 7079348 10619022 10865976 14158696 19468207 21238044 38936414 42476088 58404621 77872828 116809242 155745656 233618484 467236968