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428102580 = 223537792441
BaseRepresentation
bin11001100001000…
…101001110110100
31002211112212100010
4121201011032310
51334043240310
6110251420220
713415545323
oct3141051664
91084485303
10428102580
111aa71a894
12bb454670
136a900a49
1440bdc0ba
15278b5320
hex198453b4

428102580 has 96 divisors (see below), whose sum is σ = 1247178240. Its totient is φ = 109624320.

The previous prime is 428102573. The next prime is 428102603. The reversal of 428102580 is 85201824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174160 + ... + 176600.

It is an arithmetic number, because the mean of its divisors is an integer number (12991440).

Almost surely, 2428102580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428102580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623589120).

428102580 is an abundant number, since it is smaller than the sum of its proper divisors (819075660).

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

428102580 is a wasteful number, since it uses less digits than its factorization.

428102580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 428102580 is about 20690.6399127722. The cubic root of 428102580 is about 753.6724063367.

The spelling of 428102580 in words is "four hundred twenty-eight million, one hundred two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 316 370 395 444 474 555 740 790 948 1110 1185 1580 2220 2370 2441 2923 4740 4882 5846 7323 8769 9764 11692 12205 14615 14646 17538 24410 29230 29292 35076 36615 43845 48820 58460 73230 87690 90317 146460 175380 180634 192839 270951 361268 385678 451585 541902 578517 771356 903170 964195 1083804 1157034 1354755 1806340 1928390 2314068 2709510 2892585 3856780 5419020 5785170 7135043 11570340 14270086 21405129 28540172 35675215 42810258 71350430 85620516 107025645 142700860 214051290 428102580