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1053508808 = 231119751839
BaseRepresentation
bin111110110010110…
…100010011001000
32201102100210101202
4332302310103020
54124144240213
6252312203332
735051451152
oct7662642310
92642323352
101053508808
114a0750840
12254999548
1313a3536c1
149dcb9ad2
1562750b58
hex3ecb44c8

1053508808 has 64 divisors (see below), whose sum is σ = 2274048000. Its totient is φ = 452520000.

The previous prime is 1053508763. The next prime is 1053508877. The reversal of 1053508808 is 8088053501.

1053508808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10535088082 = 2219761617067161728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255253 + ... + 1256091.

It is an arithmetic number, because the mean of its divisors is an integer number (35532000).

Almost surely, 21053508808 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 1053508808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137024000).

1053508808 is an abundant number, since it is smaller than the sum of its proper divisors (1220539192).

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

1053508808 is a wasteful number, since it uses less digits than its factorization.

1053508808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 1053508808 is about 32457.8004183894. The cubic root of 1053508808 is about 1017.5272693402.

The spelling of 1053508808 in words is "one billion, fifty-three million, five hundred eight thousand, eight hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 751 836 839 1502 1672 1678 3004 3356 6008 6712 8261 9229 14269 15941 16522 18458 28538 31882 33044 36916 57076 63764 66088 73832 114152 127528 156959 175351 313918 350702 627836 630089 701404 1255672 1260178 1402808 2520356 5040712 6930979 11971691 13861958 23943382 27723916 47886764 55447832 95773528 131688601 263377202 526754404 1053508808