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425168480 = 25511376529
BaseRepresentation
bin11001010101111…
…000111001100000
31002122000210111202
4121111320321200
51332320342410
6110104500332
713351605152
oct3125707140
91078023452
10425168480
111a8aa6410
12ba47a6a8
136a1143a9
1440676ad2
15274d5ca5
hex19578e60

425168480 has 96 divisors (see below), whose sum is σ = 1125563040. Its totient is φ = 150405120.

The previous prime is 425168479. The next prime is 425168509. The reversal of 425168480 is 84861524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61856 + ... + 68384.

It is an arithmetic number, because the mean of its divisors is an integer number (11724615).

Almost surely, 2425168480 is an apocalyptic number.

425168480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562781520).

425168480 is an abundant number, since it is smaller than the sum of its proper divisors (700394560).

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

425168480 is a wasteful number, since it uses less digits than its factorization.

425168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 425168480 is about 20619.6139634087. The cubic root of 425168480 is about 751.9466349637.

The spelling of 425168480 in words is "four hundred twenty-five million, one hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 6529 8140 13024 13058 16280 26116 32560 32645 52232 65120 65290 71819 104464 130580 143638 208928 241573 261160 287276 359095 483146 522320 574552 718190 966292 1044640 1149104 1207865 1436380 1932584 2298208 2415730 2657303 2872760 3865168 4831460 5314606 5745520 7730336 9662920 10629212 11491040 13286515 19325840 21258424 26573030 38651680 42516848 53146060 85033696 106292120 212584240 425168480