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7852440996 = 22385472
BaseRepresentation
bin1110101000000101…
…01011110110100100
3202021020202100000000
413110002223312210
5112040211102441
63335105021300
7365406434661
oct72402536644
922236670000
107852440996
11336a553164
121631924830
13981aba2ba
14546c56a68
1530e59e2b6
hex1d40abda4

7852440996 has 81 divisors (see below), whose sum is σ = 20649360459. Its totient is φ = 2612695176.

The previous prime is 7852440989. The next prime is 7852440997. The reversal of 7852440996 is 6990442587.

The square root of 7852440996 is 88614.

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

7852440996 is a `hidden beast` number, since 78 + 524 + 40 + 9 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×78524409962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7852440997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14355195 + ... + 14355741.

Almost surely, 27852440996 is an apocalyptic number.

7852440996 is the 88614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7852440996

7852440996 is an abundant number, since it is smaller than the sum of its proper divisors (12796919463).

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

7852440996 is an frugal number, since it uses more digits than its factorization.

7852440996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The cubic root of 7852440996 is about 1987.6270289760.

The spelling of 7852440996 in words is "seven billion, eight hundred fifty-two million, four hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 547 729 972 1094 1458 1641 2187 2188 2916 3282 4374 4923 6561 6564 8748 9846 13122 14769 19692 26244 29538 44307 59076 88614 132921 177228 265842 299209 398763 531684 598418 797526 897627 1196289 1196836 1595052 1795254 2392578 2692881 3588867 3590508 4785156 5385762 7177734 8078643 10771524 14355468 16157286 24235929 32314572 48471858 72707787 96943716 145415574 218123361 290831148 436246722 654370083 872493444 1308740166 1963110249 2617480332 3926220498 7852440996