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4979031840 = 2532526313147
BaseRepresentation
bin1001010001100010…
…11111111100100000
3110211222221000122200
410220301133330200
540144113004330
62142021533200
7234246033546
oct45061377440
913758830580
104979031840
112125596352
12b6b574200
136146c98b3
143533a3d96
151e21b3a60
hex128c5ff20

4979031840 has 144 divisors (see below), whose sum is σ = 17056847808. Its totient is φ = 1322592768.

The previous prime is 4979031823. The next prime is 4979031851. The reversal of 4979031840 is 481309794.

4979031840 is a `hidden beast` number, since 497 + 90 + 31 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372147 + ... + 385293.

It is an arithmetic number, because the mean of its divisors is an integer number (118450332).

Almost surely, 24979031840 is an apocalyptic number.

4979031840 is a gapful number since it is divisible by the number (40) 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 4979031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528423904).

4979031840 is an abundant number, since it is smaller than the sum of its proper divisors (12077815968).

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

4979031840 is a wasteful number, since it uses less digits than its factorization.

4979031840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13431 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4979031840 is about 70562.2550660054. The cubic root of 4979031840 is about 1707.5822608563.

The spelling of 4979031840 in words is "four billion, nine hundred seventy-nine million, thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 263 288 360 480 526 720 789 1052 1315 1440 1578 2104 2367 2630 3156 3945 4208 4734 5260 6312 7890 8416 9468 10520 11835 12624 13147 15780 18936 21040 23670 25248 26294 31560 37872 39441 42080 47340 52588 63120 65735 75744 78882 94680 105176 118323 126240 131470 157764 189360 197205 210352 236646 262940 315528 378720 394410 420704 473292 525880 591615 631056 788820 946584 1051760 1183230 1262112 1577640 1893168 2103520 2366460 3155280 3457661 3786336 4732920 6310560 6915322 9465840 10372983 13830644 17288305 18931680 20745966 27661288 31118949 34576610 41491932 51864915 55322576 62237898 69153220 82983864 103729830 110645152 124475796 138306440 155594745 165967728 207459660 248951592 276612880 311189490 331935456 414919320 497903184 553225760 622378980 829838640 995806368 1244757960 1659677280 2489515920 4979031840