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428397552 = 243311175303
BaseRepresentation
bin11001100010001…
…101001111110000
31002212002211222000
4121202031033300
51334132210202
6110302014000
713421214312
oct3142151760
91085084860
10428397552
111aa901470
12bb577300
136a9a509b
1440c777b2
152792291c
hex1988d3f0

428397552 has 160 divisors (see below), whose sum is σ = 1420623360. Its totient is φ = 122158080.

The previous prime is 428397551. The next prime is 428397559. The reversal of 428397552 is 255793824.

428397552 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 97 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 428397498 and 428397507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428397551) 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, 78133 + ... + 83435.

It is an arithmetic number, because the mean of its divisors is an integer number (8878896).

Almost surely, 2428397552 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 428397552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

428397552 is an abundant number, since it is smaller than the sum of its proper divisors (992225808).

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

428397552 is a wasteful number, since it uses less digits than its factorization.

428397552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5336 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 428397552 is about 20697.7668360623. The cubic root of 428397552 is about 753.8454654956.

The spelling of 428397552 in words is "four hundred twenty-eight million, three hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 5303 6732 7344 8976 10098 10606 13464 15909 20196 21212 26928 31818 40392 42424 47727 58333 63636 80784 84848 90151 95454 116666 127272 143181 174999 180302 190908 233332 254544 270453 286362 349998 360604 381816 466664 524997 540906 572724 699996 721208 763632 811359 933328 991661 1049994 1081812 1145448 1399992 1442416 1574991 1622718 1983322 2099988 2163624 2290896 2434077 2799984 2974983 3149982 3245436 3966644 4199976 4327248 4868154 5949966 6299964 6490872 7933288 8399952 8924949 9736308 11899932 12599928 12981744 15866576 17849898 19472616 23799864 25199856 26774847 35699796 38945232 47599728 53549694 71399592 107099388 142799184 214198776 428397552