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2928521152 = 26297919973
BaseRepresentation
bin1010111010001101…
…1010111111000000
321120002112021210101
42232203122333000
521444200134102
61202332212144
7132400006354
oct25643327700
97502467711
102928521152
11127308a317
1269890a054
1337894886b
141dad1b464
15122174e87
hexae8dafc0

2928521152 has 56 divisors (see below), whose sum is σ = 6088075200. Its totient is φ = 1395803136.

The previous prime is 2928521147. The next prime is 2928521153. The reversal of 2928521152 is 2511258292.

It is a super-2 number, since 2×29285211522 = 17152472275422814208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928521153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136638 + ... + 156610.

Almost surely, 22928521152 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 2928521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044037600).

2928521152 is an abundant number, since it is smaller than the sum of its proper divisors (3159554048).

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

2928521152 is a wasteful number, since it uses less digits than its factorization.

2928521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20093 (or 20083 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 2928521152 is about 54115.8124026610. The cubic root of 2928521152 is about 1430.7028920969.

The spelling of 2928521152 in words is "two billion, nine hundred twenty-eight million, five hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 79 116 158 232 316 464 632 928 1264 1856 2291 2528 4582 5056 9164 18328 19973 36656 39946 73312 79892 146624 159784 319568 579217 639136 1158434 1278272 1577867 2316868 3155734 4633736 6311468 9267472 12622936 18534944 25245872 37069888 45758143 50491744 91516286 100983488 183032572 366065144 732130288 1464260576 2928521152