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2088153088 = 2127671087
BaseRepresentation
bin111110001110110…
…1011000000000000
312101112020011112021
41330131223000000
513234031344323
6543112211224
7102514002610
oct17435530000
95345204467
102088153088
1198178735a
124a3399b14
13273800758
1415b484a40
15c34c705d
hex7c76b000

2088153088 has 104 divisors (see below), whose sum is σ = 4848023552. Its totient is φ = 880754688.

The previous prime is 2088153073. The next prime is 2088153113. The reversal of 2088153088 is 8803518802.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1920481 + ... + 1921567.

Almost surely, 22088153088 is an apocalyptic number.

2088153088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088153088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424011776).

2088153088 is an abundant number, since it is smaller than the sum of its proper divisors (2759870464).

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

2088153088 is an equidigital number, since it uses as much as digits as its factorization.

2088153088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The square root of 2088153088 is about 45696.3137244133. The cubic root of 2088153088 is about 1278.1665416945.

The spelling of 2088153088 in words is "two billion, eighty-eight million, one hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1024 1072 1087 1792 1876 2048 2144 2174 3584 3752 4096 4288 4348 7168 7504 7609 8576 8696 14336 15008 15218 17152 17392 28672 30016 30436 34304 34784 60032 60872 68608 69568 72829 120064 121744 137216 139136 145658 240128 243488 274432 278272 291316 480256 486976 509803 556544 582632 960512 973952 1019606 1113088 1165264 1921024 1947904 2039212 2226176 2330528 3895808 4078424 4452352 4661056 7791616 8156848 9322112 15583232 16313696 18644224 31166464 32627392 37288448 65254784 74576896 130509568 149153792 261019136 298307584 522038272 1044076544 2088153088