Search a number
-
+
2428035470 = 257533591823
BaseRepresentation
bin1001000010111000…
…1110000110001110
320021012202222111122
42100232032012032
514433034113340
61040533120542
7114111650420
oct22056160616
96235688448
102428035470
111036620a93
12579189152
132c90536a3
1419067a810
15e3262db5
hex90b8e18e

2428035470 has 64 divisors (see below), whose sum is σ = 5106032640. Its totient is φ = 814040448.

The previous prime is 2428035439. The next prime is 2428035481. The reversal of 2428035470 is 745308242.

It is a Harshad number since it is a multiple of its sum of digits (35).

Together with 2677997170 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 2428035470.

It is a congruent number.

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, 1330979 + ... + 1332801.

It is an arithmetic number, because the mean of its divisors is an integer number (79781760).

Almost surely, 22428035470 is an apocalyptic number.

2428035470 is an abundant number, since it is smaller than the sum of its proper divisors (2677997170).

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

2428035470 is a wasteful number, since it uses less digits than its factorization.

2428035470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249.

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 2428035470 is about 49275.0998984274. The cubic root of 2428035470 is about 1344.0590277688.

The spelling of 2428035470 in words is "two billion, four hundred twenty-eight million, thirty-five thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 35 53 70 106 265 359 371 530 718 742 1795 1823 1855 2513 3590 3646 3710 5026 9115 12565 12761 18230 19027 25130 25522 38054 63805 95135 96619 127610 133189 190270 193238 266378 483095 654457 665945 676333 966190 1308914 1331890 1352666 3272285 3381665 4581199 6544570 6763330 9162398 22905995 34686221 45811990 69372442 173431105 242803547 346862210 485607094 1214017735 2428035470