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428781780 = 223257714793
BaseRepresentation
bin11001100011101…
…011000011010100
31002212211101000200
4121203223003110
51334232004110
6110314140500
713424404440
oct3143530324
91085741020
10428781780
11200044109
12bb721730
136aaaac3b
1440d37820
152799b6c0
hex198eb0d4

428781780 has 144 divisors (see below), whose sum is σ = 1507693824. Its totient is φ = 96606720.

The previous prime is 428781763. The next prime is 428781811. The reversal of 428781780 is 87187824.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87064 + ... + 91856.

It is an arithmetic number, because the mean of its divisors is an integer number (10470096).

Almost surely, 2428781780 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 428781780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753846912).

428781780 is an abundant number, since it is smaller than the sum of its proper divisors (1078912044).

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

428781780 is a wasteful number, since it uses less digits than its factorization.

428781780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 428781780 is about 20707.0466266921. The cubic root of 428781780 is about 754.0707717813.

The spelling of 428781780 in words is "four hundred twenty-eight million, seven hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4793 4970 5964 6390 7455 8946 9586 9940 12780 14379 14910 17892 19172 22365 23965 28758 29820 33551 43137 44730 47930 57516 67102 71895 86274 89460 95860 100653 134204 143790 167755 172548 201306 215685 287580 301959 335510 340303 402612 431370 503265 603918 671020 680606 862740 1006530 1020909 1207836 1361212 1509795 1701515 2013060 2041818 2382121 3019590 3062727 3403030 4083636 4764242 5104545 6039180 6125454 6806060 7146363 9528484 10209090 11910605 12250908 14292726 15313635 20418180 21439089 23821210 28585452 30627270 35731815 42878178 47642420 61254540 71463630 85756356 107195445 142927260 214390890 428781780