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4980600480 = 253561316927
BaseRepresentation
bin1001010001101110…
…11110111010100000
3110212002212201102110
410220313132322200
540200013203410
62142115315320
7234265256052
oct45067367240
913762781373
104980600480
112126467949
12b6bbabb40
13614b2889b
143536918d2
151e23c3720
hex128ddeea0

4980600480 has 96 divisors (see below), whose sum is σ = 15715413504. Its totient is φ = 1325915136.

The previous prime is 4980600437. The next prime is 4980600487. The reversal of 4980600480 is 840060894.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×49806004802 = 49612762282752460800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4980600487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285777 + ... + 302703.

It is an arithmetic number, because the mean of its divisors is an integer number (163702224).

Almost surely, 24980600480 is an apocalyptic number.

4980600480 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 4980600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857706752).

4980600480 is an abundant number, since it is smaller than the sum of its proper divisors (10734813024).

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

4980600480 is a wasteful number, since it uses less digits than its factorization.

4980600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17558 (or 17550 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4980600480 is about 70573.3694816961. The cubic root of 4980600480 is about 1707.7615661696.

The spelling of 4980600480 in words is "four billion, nine hundred eighty million, six hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 613 1226 1839 2452 3065 3678 4904 6130 7356 9195 9808 12260 14712 16927 18390 19616 24520 29424 33854 36780 49040 50781 58848 67708 73560 84635 98080 101562 135416 147120 169270 203124 253905 270832 294240 338540 406248 507810 541664 677080 812496 1015620 1354160 1624992 2031240 2708320 4062480 8124960 10376251 20752502 31128753 41505004 51881255 62257506 83010008 103762510 124515012 155643765 166020016 207525020 249030024 311287530 332040032 415050040 498060048 622575060 830100080 996120096 1245150120 1660200160 2490300240 4980600480