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796371552 = 25322997983
BaseRepresentation
bin101111011101111…
…010101001100000
32001111111212101200
4233131322221200
53112332342202
6211005001200
725510021644
oct5735725140
92044455350
10796371552
11379592809
121a2853200
13c8cb2492
1477aa2c24
1549dabe1c
hex2f77aa60

796371552 has 144 divisors (see below), whose sum is σ = 2369334240. Its totient is φ = 253403136.

The previous prime is 796371539. The next prime is 796371553. The reversal of 796371552 is 255173697.

796371552 is a `hidden beast` number, since 7 + 9 + 637 + 1 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 796371498 and 796371507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796371553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809653 + ... + 810635.

It is an arithmetic number, because the mean of its divisors is an integer number (16453710).

Almost surely, 2796371552 is an apocalyptic number.

796371552 is a gapful number since it is divisible by the number (72) 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 796371552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184667120).

796371552 is an abundant number, since it is smaller than the sum of its proper divisors (1572962688).

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

796371552 is a wasteful number, since it uses less digits than its factorization.

796371552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 796371552 is about 28220.0558468618. The cubic root of 796371552 is about 926.9121591934.

The spelling of 796371552 in words is "seven hundred ninety-six million, three hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 97 116 144 174 194 232 261 288 291 348 388 464 522 582 696 776 873 928 983 1044 1164 1392 1552 1746 1966 2088 2328 2784 2813 2949 3104 3492 3932 4176 4656 5626 5898 6984 7864 8352 8439 8847 9312 11252 11796 13968 15728 16878 17694 22504 23592 25317 27936 28507 31456 33756 35388 45008 47184 50634 57014 67512 70776 85521 90016 94368 95351 101268 114028 135024 141552 171042 190702 202536 228056 256563 270048 283104 286053 342084 381404 405072 456112 513126 572106 684168 762808 810144 858159 912224 1026252 1144212 1368336 1525616 1716318 2052504 2288424 2736672 2765179 3051232 3432636 4105008 4576848 5530358 6865272 8210016 8295537 9153696 11060716 13730544 16591074 22121432 24886611 27461088 33182148 44242864 49773222 66364296 88485728 99546444 132728592 199092888 265457184 398185776 796371552