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2151426528 = 25333078111
BaseRepresentation
bin1000000000111100…
…0010100111100000
312112221021210101000
42000033002213200
513401231122103
6553252312000
7104212552356
oct20017024740
95487253330
102151426528
11a04473659
12500612600
13283955664
14165a357d6
15c8d24aa3
hex803c29e0

2151426528 has 96 divisors (see below), whose sum is σ = 6296209920. Its totient is φ = 714718080.

The previous prime is 2151426523. The next prime is 2151426547. The reversal of 2151426528 is 8256241512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21514265282 = 9257272210764269568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2151426492 and 2151426501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151426523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261193 + ... + 269303.

It is an arithmetic number, because the mean of its divisors is an integer number (65585520).

Almost surely, 22151426528 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 2151426528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148104960).

2151426528 is an abundant number, since it is smaller than the sum of its proper divisors (4144783392).

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

2151426528 is a wasteful number, since it uses less digits than its factorization.

2151426528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8437 (or 8423 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2151426528 is about 46383.4725737520. The cubic root of 2151426528 is about 1290.9482697721.

The spelling of 2151426528 in words is "two billion, one hundred fifty-one million, four hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 307 432 614 864 921 1228 1842 2456 2763 3684 4912 5526 7368 8111 8289 9824 11052 14736 16222 16578 22104 24333 29472 32444 33156 44208 48666 64888 66312 72999 88416 97332 129776 132624 145998 194664 218997 259552 265248 291996 389328 437994 583992 778656 875988 1167984 1751976 2335968 2490077 3503952 4980154 7007904 7470231 9960308 14940462 19920616 22410693 29880924 39841232 44821386 59761848 67232079 79682464 89642772 119523696 134464158 179285544 239047392 268928316 358571088 537856632 717142176 1075713264 2151426528