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797401152 = 2633569811
BaseRepresentation
bin101111100001110…
…110000001000000
32001120110011202000
4233201312001000
53113113314102
6211043024000
725521540462
oct5741660100
92046404660
10797401152
1137a126319
121a306b000
13c9283002
1477c90132
154a01201c
hex2f876040

797401152 has 112 divisors (see below), whose sum is σ = 2351227200. Its totient is φ = 265006080.

The previous prime is 797401117. The next prime is 797401153. The reversal of 797401152 is 251104797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (797401153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982827 + ... + 983637.

It is an arithmetic number, because the mean of its divisors is an integer number (20993100).

Almost surely, 2797401152 is an apocalyptic number.

797401152 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 797401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175613600).

797401152 is an abundant number, since it is smaller than the sum of its proper divisors (1553826048).

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

797401152 is a wasteful number, since it uses less digits than its factorization.

797401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 797401152 is about 28238.2922996416. The cubic root of 797401152 is about 927.3114442469.

The spelling of 797401152 in words is "seven hundred ninety-seven million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 569 576 811 864 1138 1622 1707 1728 2276 2433 3244 3414 4552 4866 5121 6488 6828 7299 9104 9732 10242 12976 13656 14598 15363 18208 19464 20484 21897 25952 27312 29196 30726 36416 38928 40968 43794 51904 54624 58392 61452 77856 81936 87588 109248 116784 122904 155712 163872 175176 233568 245808 327744 350352 461459 467136 491616 700704 922918 983232 1384377 1401408 1845836 2768754 3691672 4153131 5537508 7383344 8306262 11075016 12459393 14766688 16612524 22150032 24918786 29533376 33225048 44300064 49837572 66450096 88600128 99675144 132900192 199350288 265800384 398700576 797401152