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5428976301 = 327798271319
BaseRepresentation
bin1010000111001011…
…11001101010101101
3112000100120120102100
411003211321222231
542104304220201
62254413445313
7251351352150
oct50345715255
915010516370
105428976301
112336574281
1210761a0839
136869a7218
14397049c97
1521b940886
hex143979aad

5428976301 has 48 divisors (see below), whose sum is σ = 9093427200. Its totient is φ = 3056979744.

The previous prime is 5428976279. The next prime is 5428976351. The reversal of 5428976301 is 1036798245.

5428976301 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 9 + 7 + 630 + 1 = 666.

5428976301 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5428976301 is a nontrivial binomial coefficient, being equal to C(104202, 2).

It is not a de Polignac number, because 5428976301 - 25 = 5428976269 is a prime.

5428976301 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428976351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4115320 + ... + 4116638.

It is an arithmetic number, because the mean of its divisors is an integer number (189446400).

It is a 1-persistent number, because it is pandigital, but 2⋅5428976301 = 10857952602 is not.

Almost surely, 25428976301 is an apocalyptic number.

5428976301 is the 104201-st triangular number and also the 52101-st hexagonal number.

It is an amenable number.

5428976301 is a deficient number, since it is larger than the sum of its proper divisors (3664450899).

5428976301 is a wasteful number, since it uses less digits than its factorization.

5428976301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5428976301 is about 73681.5872589618. The cubic root of 5428976301 is about 1757.5430918184.

The spelling of 5428976301 in words is "five billion, four hundred twenty-eight million, nine hundred seventy-six thousand, three hundred one".

Divisors: 1 3 7 9 21 63 79 237 553 711 827 1319 1659 2481 3957 4977 5789 7443 9233 11871 17367 27699 52101 65333 83097 104201 195999 312603 457331 587997 729407 937809 1090813 1371993 2188221 3272439 4115979 6564663 7635691 9817317 22907073 68721219 86174227 258522681 603219589 775568043 1809658767 5428976301