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988048640 = 2851940627
BaseRepresentation
bin111010111001000…
…110110100000000
32112212012001221002
4322321012310000
54010420024030
6242013151132
733325163165
oct7271066400
92485161832
10988048640
11467800627
12236a8b4a8
13129914387
149531a06c
155bb20245
hex3ae46d00

988048640 has 72 divisors (see below), whose sum is σ = 2491308960. Its totient is φ = 374409216.

The previous prime is 988048637. The next prime is 988048679. The reversal of 988048640 is 46840889.

It is a congruent number.

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, 4007 + ... + 44633.

Almost surely, 2988048640 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 988048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245654480).

988048640 is an abundant number, since it is smaller than the sum of its proper divisors (1503260320).

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

988048640 is a wasteful number, since it uses less digits than its factorization.

988048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40667 (or 40653 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 988048640 is about 31433.2410037527. The cubic root of 988048640 is about 996.0002365553. Note that the first 3 decimals are identical.

The spelling of 988048640 in words is "nine hundred eighty-eight million, forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 40627 81254 162508 203135 325016 406270 650032 771913 812540 1300064 1543826 1625080 2600128 3087652 3250160 3859565 5200256 6175304 6500320 7719130 10400512 12350608 13000640 15438260 24701216 26001280 30876520 49402432 52002560 61753040 98804864 123506080 197609728 247012160 494024320 988048640