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795006968 = 237219173617
BaseRepresentation
bin101111011000101…
…101011111111000
32001101221112112112
4233120231133320
53112010210333
6210515431452
725462306400
oct5730553770
92041845475
10795006968
11378840558
121a22b5588
13c8925332
1477829800
1549bdc948
hex2f62d7f8

795006968 has 96 divisors (see below), whose sum is σ = 1838797200. Its totient is φ = 320398848.

The previous prime is 795006967. The next prime is 795006973. The reversal of 795006968 is 869600597.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795006967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288196 + ... + 1288812.

Almost surely, 2795006968 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 795006968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919398600).

795006968 is an abundant number, since it is smaller than the sum of its proper divisors (1043790232).

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

795006968 is a wasteful number, since it uses less digits than its factorization.

795006968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 795006968 is about 28195.8679242190. The cubic root of 795006968 is about 926.3824346664.

It can be divided in two parts, 79500 and 6968, that added together give a palindrome (86468).

The spelling of 795006968 in words is "seven hundred ninety-five million, six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 173 196 266 346 392 532 617 692 931 1064 1211 1234 1384 1862 2422 2468 3287 3724 4319 4844 4936 6574 7448 8477 8638 9688 11723 13148 16954 17276 23009 23446 26296 30233 33908 34552 46018 46892 60466 67816 82061 92036 93784 106741 120932 161063 164122 184072 213482 241864 322126 328244 426964 574427 644252 656488 747187 853928 1148854 1288504 1494374 2028079 2297708 2988748 4056158 4595416 5230309 5977496 8112316 10460618 14196553 16224632 20921236 28393106 41842472 56786212 99375871 113572424 198751742 397503484 795006968