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2964145428 = 223447613191
BaseRepresentation
bin1011000010101101…
…0100010100010100
321122120120012010000
42300223110110110
522032310123203
61210043531300
7133311551256
oct26053242424
97576505100
102964145428
111291201372
126a8829b30
1338313c80a
14201951cd6
151253604a3
hexb0ad4514

2964145428 has 120 divisors (see below), whose sum is σ = 8045985024. Its totient is φ = 950875200.

The previous prime is 2964145423. The next prime is 2964145451. The reversal of 2964145428 is 8245414692.

It is a happy number.

2964145428 is a `hidden beast` number, since 2 + 96 + 4 + 14 + 542 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964145421) 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 39 ways as a sum of consecutive naturals, for example, 927313 + ... + 930503.

Almost surely, 22964145428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2964145428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022992512).

2964145428 is an abundant number, since it is smaller than the sum of its proper divisors (5081839596).

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

2964145428 is a wasteful number, since it uses less digits than its factorization.

2964145428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3304 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2964145428 is about 54443.9659466501. The cubic root of 2964145428 is about 1436.4808337204.

The spelling of 2964145428 in words is "two billion, nine hundred sixty-four million, one hundred forty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 61 81 94 108 122 141 162 183 188 244 282 324 366 423 549 564 732 846 1098 1269 1647 1692 2196 2538 2867 3191 3294 3807 4941 5076 5734 6382 6588 7614 8601 9573 9882 11468 12764 15228 17202 19146 19764 25803 28719 34404 38292 51606 57438 77409 86157 103212 114876 149977 154818 172314 194651 232227 258471 299954 309636 344628 389302 449931 464454 516942 583953 599908 778604 899862 928908 1033884 1167906 1349793 1751859 1799724 2335812 2699586 3503718 4049379 5255577 5399172 7007436 8098758 9148597 10511154 12148137 15766731 16197516 18297194 21022308 24296274 27445791 31533462 36594388 48592548 54891582 63066924 82337373 109783164 164674746 247012119 329349492 494024238 741036357 988048476 1482072714 2964145428