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797675008 = 2913374179
BaseRepresentation
bin101111100010111…
…000111000000000
32001120222002101211
4233202320320000
53113201100013
6211052535504
725524061054
oct5742707000
92046862354
10797675008
1137a2a3049
121a3181594
13c934a860
1477d21c64
154a06823d
hex2f8b8e00

797675008 has 160 divisors (see below), whose sum is σ = 1828632960. Its totient is φ = 345047040.

The previous prime is 797674987. The next prime is 797675027. The reversal of 797675008 is 800576797.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10097113 + ... + 10097191.

It is an arithmetic number, because the mean of its divisors is an integer number (11428956).

Almost surely, 2797675008 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 797675008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914316480).

797675008 is an abundant number, since it is smaller than the sum of its proper divisors (1030957952).

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

797675008 is a wasteful number, since it uses less digits than its factorization.

797675008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The square root of 797675008 is about 28243.1409018190. The cubic root of 797675008 is about 927.4175893726.

The spelling of 797675008 in words is "seven hundred ninety-seven million, six hundred seventy-five thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 37 41 52 64 74 79 82 104 128 148 158 164 208 256 296 316 328 416 481 512 533 592 632 656 832 962 1027 1066 1184 1264 1312 1517 1664 1924 2054 2132 2368 2528 2624 2923 3034 3239 3328 3848 4108 4264 4736 5056 5248 5846 6068 6478 6656 7696 8216 8528 9472 10112 10496 11692 12136 12956 15392 16432 17056 18944 19721 20224 20992 23384 24272 25912 30784 32864 34112 37999 39442 40448 42107 46768 48544 51824 61568 65728 68224 75998 78884 84214 93536 97088 103648 119843 123136 131456 136448 151996 157768 168428 187072 194176 207296 239686 246272 262912 272896 303992 315536 336856 374144 388352 414592 479372 525824 607984 631072 673712 748288 776704 829184 958744 1215968 1262144 1347424 1496576 1557959 1658368 1917488 2431936 2524288 2694848 3115918 3834976 4863872 5048576 5389696 6231836 7669952 9727744 10097152 10779392 12463672 15339904 19455488 21558784 24927344 30679808 49854688 61359616 99709376 199418752 398837504 797675008