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2424472128 = 263313107927
BaseRepresentation
bin1001000010000010…
…1000001001000000
320020222001221112000
42100200220021000
514431131102003
61040324504000
7114036446601
oct22040501100
96228057460
102424472128
111034607881
12577b4b000
132c83a67c0
1418ddcdda8
15e2cac1a3
hex90828240

2424472128 has 112 divisors (see below), whose sum is σ = 7675839360. Its totient is φ = 745984512.

The previous prime is 2424472103. The next prime is 2424472163. The reversal of 2424472128 is 8212744242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2424472092 and 2424472101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31500 + ... + 76427.

It is an arithmetic number, because the mean of its divisors is an integer number (68534280).

Almost surely, 22424472128 is an apocalyptic number.

It is an amenable number.

2424472128 is an abundant number, since it is smaller than the sum of its proper divisors (5251367232).

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

2424472128 is a wasteful number, since it uses less digits than its factorization.

2424472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107961 (or 107945 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 2424472128 is about 49238.9289891647. The cubic root of 2424472128 is about 1343.4012000896.

It can be divided in two parts, 2424 and 472128, that added together give a cube (474552 = 783).

The spelling of 2424472128 in words is "two billion, four hundred twenty-four million, four hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 107927 215854 323781 431708 647562 863416 971343 1295124 1403051 1726832 1942686 2590248 2806102 2914029 3453664 3885372 4209153 5180496 5612204 5828058 6907328 7770744 8418306 10360992 11224408 11656116 12627459 15541488 16836612 20721984 22448816 23312232 25254918 31082976 33673224 37882377 44897632 46624464 50509836 62165952 67346448 75764754 89795264 93248928 101019672 134692896 151529508 186497856 202039344 269385792 303059016 404078688 606118032 808157376 1212236064 2424472128