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5220006456 = 233724639587
BaseRepresentation
bin1001101110010001…
…01111101000111000
3111110210100210200110
410313020233220320
541142310201311
62221550504320
7243233215500
oct46710575070
914423323613
105220006456
112239615125
1210182050a0
136525cc222
143773b0a00
152084138a6
hex13722fa38

5220006456 has 96 divisors (see below), whose sum is σ = 15215005440. Its totient is φ = 1488053952.

The previous prime is 5220006431. The next prime is 5220006503. The reversal of 5220006456 is 6546000225.

It is a congruent number.

It is an unprimeable number.

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, 539695 + ... + 549281.

It is an arithmetic number, because the mean of its divisors is an integer number (158489640).

Almost surely, 25220006456 is an apocalyptic number.

5220006456 is a gapful number since it is divisible by the number (56) 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 5220006456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607502720).

5220006456 is an abundant number, since it is smaller than the sum of its proper divisors (9994998984).

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

5220006456 is a wasteful number, since it uses less digits than its factorization.

5220006456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5220006456 is about 72249.6121512081. The cubic root of 5220006456 is about 1734.6972102113.

The spelling of 5220006456 in words is "five billion, two hundred twenty million, six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 463 588 926 1176 1389 1852 2778 3241 3704 5556 6482 9587 9723 11112 12964 19174 19446 22687 25928 28761 38348 38892 45374 57522 67109 68061 76696 77784 90748 115044 134218 136122 181496 201327 230088 268436 272244 402654 469763 536872 544488 805308 939526 1409289 1610616 1879052 2818578 3758104 4438781 5637156 8877562 11274312 13316343 17755124 26632686 31071467 35510248 53265372 62142934 93214401 106530744 124285868 186428802 217500269 248571736 372857604 435000538 652500807 745715208 870001076 1305001614 1740002152 2610003228 5220006456