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4979546440 = 23511891011259
BaseRepresentation
bin1001010001100110…
…11101100101001000
3110212000220011112221
410220303131211020
540144230441230
62142040543424
7234253306051
oct45063354510
913760804487
104979546440
112125907a40
12b6b781b74
13614849bab
14353499728
151e226627a
hex128cdd948

4979546440 has 128 divisors (see below), whose sum is σ = 12492144000. Its totient is φ = 1771264000.

The previous prime is 4979546423. The next prime is 4979546489. The reversal of 4979546440 is 446459794.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3954531 + ... + 3955789.

It is an arithmetic number, because the mean of its divisors is an integer number (97594875).

Almost surely, 24979546440 is an apocalyptic number.

4979546440 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 4979546440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246072000).

4979546440 is an abundant number, since it is smaller than the sum of its proper divisors (7512597560).

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

4979546440 is a wasteful number, since it uses less digits than its factorization.

4979546440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The square root of 4979546440 is about 70565.9013972046. The cubic root of 4979546440 is about 1707.6410869888.

The spelling of 4979546440 in words is "four billion, nine hundred seventy-nine million, five hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 101 110 178 202 220 356 404 440 445 505 712 808 890 979 1010 1111 1259 1780 1958 2020 2222 2518 3560 3916 4040 4444 4895 5036 5555 6295 7832 8888 8989 9790 10072 11110 12590 13849 17978 19580 22220 25180 27698 35956 39160 44440 44945 50360 55396 69245 71912 89890 98879 110792 112051 127159 138490 179780 197758 224102 254318 276980 359560 395516 448204 494395 508636 553960 560255 635795 791032 896408 988790 1017272 1120510 1232561 1271590 1398749 1977580 2241020 2465122 2543180 2797498 3955160 4482040 4930244 5086360 5594996 6162805 6993745 9860488 11189992 11317151 12325610 13987490 22634302 24651220 27974980 45268604 49302440 55949960 56585755 90537208 113171510 124488661 226343020 248977322 452686040 497954644 622443305 995909288 1244886610 2489773220 4979546440