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5420787876 = 22327217532
BaseRepresentation
bin1010000110001101…
…01010100010100100
3111222210011120000100
411003012222202210
542100210203001
62253522144100
7251221636200
oct50306524244
914883146010
105420787876
112331991189
1210734b2030
1368509b0ba
14395d17b00
1521ad74586
hex1431aa8a4

5420787876 has 81 divisors (see below), whose sum is σ = 15948795681. Its totient is φ = 1547913024.

The previous prime is 5420787871. The next prime is 5420787887. The reversal of 5420787876 is 6787870245.

It is a happy number.

The square root of 5420787876 is 73626.

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

It can be written as a sum of positive squares in only one way, i.e., 153512100 + 5267275776 = 12390^2 + 72576^2 .

It is not an unprimeable number, because it can be changed into a prime (5420787871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3091416 + ... + 3093168.

Almost surely, 25420787876 is an apocalyptic number.

5420787876 is the 73626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420787876

5420787876 is an abundant number, since it is smaller than the sum of its proper divisors (10528007805).

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

5420787876 is a wasteful number, since it uses less digits than its factorization.

5420787876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The cubic root of 5420787876 is about 1756.6590238994.

The spelling of 5420787876 in words is "five billion, four hundred twenty million, seven hundred eighty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1753 1764 3506 5259 7012 10518 12271 15777 21036 24542 31554 36813 49084 63108 73626 85897 110439 147252 171794 220878 257691 343588 441756 515382 773073 1030764 1546146 3073009 3092292 6146018 9219027 12292036 18438054 21511063 27657081 36876108 43022126 55314162 64533189 86044252 110628324 129066378 150577441 193599567 258132756 301154882 387199134 451732323 602309764 774398268 903464646 1355196969 1806929292 2710393938 5420787876