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5217750756 = 223440132
BaseRepresentation
bin1001101110000000…
…01000111011100100
3111110122010012110000
410313000020323210
541141221011011
62221430301300
7243205102221
oct46700107344
914418105400
105217750756
112238314409
1210174b7830
13651cbc5aa
14376d84948
1520811a356
hex137008ee4

5217750756 has 45 divisors (see below), whose sum is σ = 13643631001. Its totient is φ = 1738816848.

The previous prime is 5217750751. The next prime is 5217750779. The reversal of 5217750756 is 6570577125.

It is a happy number.

The square root of 5217750756 is 72234.

It is a perfect power (a square), and thus also a powerful number.

5217750756 is a `hidden beast` number, since 5 + 21 + 77 + 507 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4375822500 + 841928256 = 66150^2 + 29016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5217750751) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1298206 + ... + 1302218.

Almost surely, 25217750756 is an apocalyptic number.

5217750756 is the 72234-th square number.

It is an amenable number.

5217750756 is an abundant number, since it is smaller than the sum of its proper divisors (8425880245).

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

5217750756 is an frugal number, since it uses more digits than its factorization.

5217750756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The cubic root of 5217750756 is about 1734.4473050119.

The spelling of 5217750756 in words is "five billion, two hundred seventeen million, seven hundred fifty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 4013 8026 12039 16052 24078 36117 48156 72234 108351 144468 216702 325053 433404 650106 1300212 16104169 32208338 48312507 64416676 96625014 144937521 193250028 289875042 434812563 579750084 869625126 1304437689 1739250252 2608875378 5217750756