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406247028 = 2231117269673
BaseRepresentation
bin11000001101101…
…101011001110100
31001022102111011020
4120031231121310
51312444401103
6104151141140
713032020445
oct3015553164
91038374136
10406247028
11199352450
12b40747b0
136621ab75
143bd4d2cc
15259e9753
hex1836d674

406247028 has 96 divisors (see below), whose sum is σ = 1100615040. Its totient is φ = 115261440.

The previous prime is 406247003. The next prime is 406247029. The reversal of 406247028 is 820742604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 406247028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406247029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603300 + ... + 603972.

It is an arithmetic number, because the mean of its divisors is an integer number (11464740).

Almost surely, 2406247028 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 406247028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550307520).

406247028 is an abundant number, since it is smaller than the sum of its proper divisors (694368012).

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

406247028 is a wasteful number, since it uses less digits than its factorization.

406247028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 406247028 is about 20155.5706443653. The cubic root of 406247028 is about 740.6222110383.

The spelling of 406247028 in words is "four hundred six million, two hundred forty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 269 374 538 561 673 748 807 1076 1122 1346 1614 2019 2244 2692 2959 3228 4038 4573 5918 7403 8076 8877 9146 11441 11836 13719 14806 17754 18292 22209 22882 27438 29612 34323 35508 44418 45764 50303 54876 68646 88836 100606 125851 137292 150909 181037 201212 251702 301818 362074 377553 503404 543111 603636 724148 755106 1086222 1510212 1991407 2172444 3077629 3982814 5974221 6155258 7965628 9232887 11948442 12310516 18465774 23896884 33853919 36931548 67707838 101561757 135415676 203123514 406247028