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988481280 = 2835594363
BaseRepresentation
bin111010111010110…
…000011100000000
32112220000001101210
4322322300130000
54011022400110
6242030330120
733331644423
oct7272603400
92486001353
10988481280
11467a76686
12237059940
13129a36287
14953cd9ba
155bba8520
hex3aeb0700

988481280 has 144 divisors (see below), whose sum is σ = 3211205760. Its totient is φ = 259067904.

The previous prime is 988481267. The next prime is 988481293. The reversal of 988481280 is 82184889.

It is an interprime number because it is at equal distance from previous prime (988481267) and next prime (988481293).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 224379 + ... + 228741.

It is an arithmetic number, because the mean of its divisors is an integer number (22300040).

Almost surely, 2988481280 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 988481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605602880).

988481280 is an abundant number, since it is smaller than the sum of its proper divisors (2222724480).

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

988481280 is a wasteful number, since it uses less digits than its factorization.

988481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 988481280 is about 31440.1221371673. The cubic root of 988481280 is about 996.1455892723.

It can be divided in two parts, 98848 and 1280, that added together give a triangular number (100128 = T447).

The spelling of 988481280 in words is "nine hundred eighty-eight million, four hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 590 640 708 768 885 944 960 1180 1280 1416 1770 1888 1920 2360 2832 3540 3776 3840 4363 4720 5664 7080 7552 8726 9440 11328 13089 14160 15104 17452 18880 21815 22656 26178 28320 34904 37760 43630 45312 52356 56640 65445 69808 75520 87260 104712 113280 130890 139616 174520 209424 226560 257417 261780 279232 349040 418848 514834 523560 558464 698080 772251 837696 1029668 1047120 1116928 1287085 1396160 1544502 1675392 2059336 2094240 2574170 2792320 3089004 3350784 3861255 4118672 4188480 5148340 5584640 6178008 7722510 8237344 8376960 10296680 12356016 15445020 16474688 16753920 20593360 24712032 30890040 32949376 41186720 49424064 61780080 65898752 82373440 98848128 123560160 164746880 197696256 247120320 329493760 494240640 988481280