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4877248480 = 255134157191
BaseRepresentation
bin1001000101011010…
…01110011111100000
3110120220101220010121
410202231032133200
534442033422410
62123544210024
7231601633216
oct44255163740
913526356117
104877248480
112083096a75
12b41469914
135c95b0460
14343a6acb6
151d82aa9da
hex122b4e7e0

4877248480 has 96 divisors (see below), whose sum is σ = 12711722688. Its totient is φ = 1756876800.

The previous prime is 4877248471. The next prime is 4877248531. The reversal of 4877248480 is 848427784.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56685 + ... + 113875.

It is an arithmetic number, because the mean of its divisors is an integer number (132413778).

Almost surely, 24877248480 is an apocalyptic number.

4877248480 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 4877248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355861344).

4877248480 is an abundant number, since it is smaller than the sum of its proper divisors (7834474208).

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

4877248480 is a wasteful number, since it uses less digits than its factorization.

4877248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57260 (or 57252 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 52.

The square root of 4877248480 is about 69837.3000623592. The cubic root of 4877248480 is about 1695.8663676305.

The spelling of 4877248480 in words is "four billion, eight hundred seventy-seven million, two hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 205 208 260 328 410 416 520 533 656 820 1040 1066 1312 1640 2080 2132 2665 3280 4264 5330 6560 8528 10660 17056 21320 42640 57191 85280 114382 228764 285955 457528 571910 743483 915056 1143820 1486966 1830112 2287640 2344831 2973932 3717415 4575280 4689662 5947864 7434830 9150560 9379324 11724155 11895728 14869660 18758648 23448310 23791456 29739320 30482803 37517296 46896620 59478640 60965606 75034592 93793240 118957280 121931212 152414015 187586480 243862424 304828030 375172960 487724848 609656060 975449696 1219312120 2438624240 4877248480