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5428417470 = 23573641823
BaseRepresentation
bin1010000111000111…
…10001001110111110
3112000022112011211220
411003203301032332
542104133324340
62254353454210
7251343534000
oct50343611676
915008464756
105428417470
112336222433
121075b71366
1368683ca58
14396d42370
1521b87eed0
hex1438f13be

5428417470 has 128 divisors (see below), whose sum is σ = 15235430400. Its totient is φ = 1237340160.

The previous prime is 5428417453. The next prime is 5428417487. The reversal of 5428417470 is 747148245.

It is an interprime number because it is at equal distance from previous prime (5428417453) and next prime (5428417487).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6595479 + ... + 6596301.

It is an arithmetic number, because the mean of its divisors is an integer number (119026800).

Almost surely, 25428417470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428417470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7617715200).

5428417470 is an abundant number, since it is smaller than the sum of its proper divisors (9807012930).

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

5428417470 is a wasteful number, since it uses less digits than its factorization.

5428417470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The square root of 5428417470 is about 73677.7949588612. The cubic root of 5428417470 is about 1757.4827855894.

The spelling of 5428417470 in words is "five billion, four hundred twenty-eight million, four hundred seventeen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 641 686 735 823 1029 1282 1470 1646 1715 1923 2058 2469 3205 3430 3846 4115 4487 4938 5145 5761 6410 8230 8974 9615 10290 11522 12345 13461 17283 19230 22435 24690 26922 28805 31409 34566 40327 44870 57610 62818 67305 80654 86415 94227 120981 134610 157045 172830 188454 201635 219863 241962 282289 314090 403270 439726 471135 527543 564578 604905 659589 846867 942270 1055086 1099315 1209810 1319178 1411445 1582629 1693734 2198630 2637715 2822890 3165258 3297945 3692801 4234335 5275430 6595890 7385602 7913145 8468670 11078403 15826290 18464005 22156806 25849607 36928010 51699214 55392015 77548821 110784030 129248035 155097642 180947249 258496070 361894498 387744105 542841747 775488210 904736245 1085683494 1809472490 2714208735 5428417470