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988131276 = 2232116737243
BaseRepresentation
bin111010111001011…
…010111111001100
32112212100021021200
4322321122333030
54010430200101
6242015025500
733325656126
oct7271327714
92485307250
10988131276
11467857720
12236b0b290
13129942b82
149533c216
155bb39986
hex3ae5afcc

988131276 has 72 divisors (see below), whose sum is σ = 2765590464. Its totient is φ = 294956640.

The previous prime is 988131259. The next prime is 988131299. The reversal of 988131276 is 672131889.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7911 + ... + 45153.

Almost surely, 2988131276 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 988131276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382795232).

988131276 is an abundant number, since it is smaller than the sum of its proper divisors (1777459188).

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

988131276 is a wasteful number, since it uses less digits than its factorization.

988131276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37331 (or 37326 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 988131276 is about 31434.5554446059. Note that the first 3 decimals coincide. The cubic root of 988131276 is about 996.0280027933.

The spelling of 988131276 in words is "nine hundred eighty-eight million, one hundred thirty-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6633 8844 13266 26532 37243 74486 111729 148972 223458 335187 409673 446916 670374 819346 1229019 1340748 1638692 2458038 2495281 3687057 4916076 4990562 7374114 7485843 9981124 14748228 14971686 22457529 27448091 29943372 44915058 54896182 82344273 89830116 109792364 164688546 247032819 329377092 494065638 988131276