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1988542440 = 233357125933
BaseRepresentation
bin111011010000110…
…1011111111101000
312010120210102102000
41312201223333220
513033031324230
6525153211000
7100164221553
oct16641537750
95116712360
101988542440
11930531405
12475b60a60
13258c95241
1414c15569a
15b989cb60
hex7686bfe8

1988542440 has 128 divisors (see below), whose sum is σ = 6722092800. Its totient is φ = 522789120.

The previous prime is 1988542429. The next prime is 1988542453. The reversal of 1988542440 is 442458891.

1988542440 is a `hidden beast` number, since 1 + 98 + 85 + 42 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 63714 + ... + 89646.

It is an arithmetic number, because the mean of its divisors is an integer number (52516350).

Almost surely, 21988542440 is an apocalyptic number.

1988542440 is a gapful number since it is divisible by the number (10) 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 1988542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361046400).

1988542440 is an abundant number, since it is smaller than the sum of its proper divisors (4733550360).

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

1988542440 is a wasteful number, since it uses less digits than its factorization.

1988542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26024 (or 26014 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1988542440 is about 44593.0761441729. The cubic root of 1988542440 is about 1257.5105040182.

The spelling of 1988542440 in words is "one billion, nine hundred eighty-eight million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1917 2130 2556 2840 3195 3834 4260 5112 6390 7668 8520 9585 12780 15336 19170 25560 25933 38340 51866 76680 77799 103732 129665 155598 207464 233397 259330 311196 388995 466794 518660 622392 700191 777990 933588 1037320 1166985 1400382 1555980 1841243 1867176 2333970 2800764 3111960 3500955 3682486 4667940 5523729 5601528 7001910 7364972 9206215 9335880 11047458 14003820 14729944 16571187 18412430 22094916 27618645 28007640 33142374 36824860 44189832 49713561 55237290 66284748 73649720 82855935 99427122 110474580 132569496 165711870 198854244 220949160 248567805 331423740 397708488 497135610 662847480 994271220 1988542440