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797355480 = 233533719717
BaseRepresentation
bin101111100001101…
…010110111011000
32001120100212002110
4233201222313120
53113110333410
6211042032320
725521260355
oct5741526730
92046325073
10797355480
1137a0a4a79
121a30486a0
13c926829c
1477c7b62c
154a003720
hex2f86add8

797355480 has 64 divisors (see below), whose sum is σ = 2399286240. Its totient is φ = 211986432.

The previous prime is 797355401. The next prime is 797355487. The reversal of 797355480 is 84553797.

It is a super-2 number, since 2×7973554802 = 1271551522972060800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797355487) 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 15 ways as a sum of consecutive naturals, for example, 30582 + ... + 50298.

Almost surely, 2797355480 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 797355480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199643120).

797355480 is an abundant number, since it is smaller than the sum of its proper divisors (1601930760).

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

797355480 is a wasteful number, since it uses less digits than its factorization.

797355480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20068 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 797355480 is about 28237.4835989328. The cubic root of 797355480 is about 927.2937396588.

The spelling of 797355480 in words is "seven hundred ninety-seven million, three hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3370 4044 5055 6740 8088 10110 13480 19717 20220 39434 40440 59151 78868 98585 118302 157736 197170 236604 295755 394340 473208 591510 788680 1183020 2366040 6644629 13289258 19933887 26578516 33223145 39867774 53157032 66446290 79735548 99669435 132892580 159471096 199338870 265785160 398677740 797355480