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428953910 = 257112353457
BaseRepresentation
bin11001100100010…
…101000100110110
31002220011010010212
4121210111010312
51334303011120
6110321545422
713426022330
oct3144250466
91086133125
10428953910
11200151470
12bb7a5272
136ab3b3a8
1440d80450
15279d26c5
hex19915136

428953910 has 128 divisors (see below), whose sum is σ = 1025685504. Its totient is φ = 125199360.

The previous prime is 428953901. The next prime is 428953919. The reversal of 428953910 is 19359824.

It is an interprime number because it is at equal distance from previous prime (428953901) and next prime (428953919).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428953919) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 938402 + ... + 938858.

It is an arithmetic number, because the mean of its divisors is an integer number (8013168).

Almost surely, 2428953910 is an apocalyptic number.

428953910 is an abundant number, since it is smaller than the sum of its proper divisors (596731594).

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

428953910 is a wasteful number, since it uses less digits than its factorization.

428953910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 428953910 is about 20711.2025242379. The cubic root of 428953910 is about 754.1716629130.

The spelling of 428953910 in words is "four hundred twenty-eight million, nine hundred fifty-three thousand, nine hundred ten".

Divisors: 1 2 5 7 10 11 14 22 23 35 46 53 55 70 77 106 110 115 154 161 230 253 265 322 371 385 457 506 530 583 742 770 805 914 1166 1219 1265 1610 1771 1855 2285 2438 2530 2915 3199 3542 3710 4081 4570 5027 5830 6095 6398 8162 8533 8855 10054 10511 12190 13409 15995 17066 17710 20405 21022 24221 25135 26818 31990 35189 40810 42665 48442 50270 52555 67045 70378 73577 85330 93863 105110 115621 121105 134090 147154 169547 175945 187726 231242 242210 266431 339094 351890 367885 469315 532862 557083 578105 735770 809347 847735 938630 1114166 1156210 1332155 1618694 1695470 1865017 2664310 2785415 3730034 3899581 4046735 5570830 6127913 7799162 8093470 9325085 12255826 18650170 19497905 30639565 38995810 42895391 61279130 85790782 214476955 428953910