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4900480 = 275131931
BaseRepresentation
bin10010101100011010000000
3100012222012021
4102230122000
52223303410
6253011224
756440054
oct22543200
910188167
104900480
112847892
121783b14
1310276c0
14917c64
1566beda
hex4ac680

4900480 has 128 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1658880.

The previous prime is 4900477. The next prime is 4900501. The reversal of 4900480 is 840094.

4900480 = T207 + T208 + ... + T336.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×49004803 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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, 158065 + ... + 158095.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

Almost surely, 24900480 is an apocalyptic number.

4900480 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 4900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4900480 is an abundant number, since it is smaller than the sum of its proper divisors (8808320).

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

4900480 is a wasteful number, since it uses less digits than its factorization.

4900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4900480 is about 2213.7027804111. The cubic root of 4900480 is about 169.8554711631.

The spelling of 4900480 in words is "four million, nine hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 31 32 38 40 52 62 64 65 76 80 95 104 124 128 130 152 155 160 190 208 247 248 260 304 310 320 380 403 416 494 496 520 589 608 620 640 760 806 832 988 992 1040 1178 1216 1235 1240 1520 1612 1664 1976 1984 2015 2080 2356 2432 2470 2480 2945 3040 3224 3952 3968 4030 4160 4712 4940 4960 5890 6080 6448 7657 7904 8060 8320 9424 9880 9920 11780 12160 12896 15314 15808 16120 18848 19760 19840 23560 25792 30628 31616 32240 37696 38285 39520 47120 51584 61256 64480 75392 76570 79040 94240 122512 128960 153140 158080 188480 245024 257920 306280 376960 490048 612560 980096 1225120 2450240 4900480