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987381312 = 26312740493
BaseRepresentation
bin111010110110100…
…011111001000000
32112210221011112020
4322312203321000
54010232200222
6241551001440
733316413501
oct7266437100
92483834466
10987381312
11467395215
12236809280
1312973c6c8
14951c4ba8
155ba3c65c
hex3ada3e40

987381312 has 56 divisors (see below), whose sum is σ = 2633081856. Its totient is φ = 326527488.

The previous prime is 987381289. The next prime is 987381313. The reversal of 987381312 is 213183789.

987381312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (987381313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4138 + ... + 44630.

Almost surely, 2987381312 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 987381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316540928).

987381312 is an abundant number, since it is smaller than the sum of its proper divisors (1645700544).

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

987381312 is a wasteful number, since it uses less digits than its factorization.

987381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40635 (or 40625 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 987381312 is about 31422.6242061353. The cubic root of 987381312 is about 995.7759532181.

The spelling of 987381312 in words is "nine hundred eighty-seven million, three hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 8128 12192 24384 40493 80986 121479 161972 242958 323944 485916 647888 971832 1295776 1943664 2591552 3887328 5142611 7774656 10285222 15427833 20570444 30855666 41140888 61711332 82281776 123422664 164563552 246845328 329127104 493690656 987381312