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426705552 = 243271332563
BaseRepresentation
bin11001011011110…
…000001010010000
31002201220212222100
4121123300022100
51333214034202
6110201440400
713400636340
oct3133601220
91081825870
10426705552
111a9956219
12baaa0100
136a531bc0
1440956d20
15276db41c
hex196f0290

426705552 has 120 divisors (see below), whose sum is σ = 1469808704. Its totient is φ = 112534272.

The previous prime is 426705529. The next prime is 426705557. The reversal of 426705552 is 255507624.

426705552 is a `hidden beast` number, since 42 + 67 + 0 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (426705557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3178 + ... + 29385.

Almost surely, 2426705552 is an apocalyptic number.

426705552 is a gapful number since it is divisible by the number (42) 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 426705552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734904352).

426705552 is an abundant number, since it is smaller than the sum of its proper divisors (1043103152).

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

426705552 is a wasteful number, since it uses less digits than its factorization.

426705552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32597 (or 32588 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 426705552 is about 20656.8524223803. The cubic root of 426705552 is about 752.8516927224.

The spelling of 426705552 in words is "four hundred twenty-six million, seven hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 32563 65126 97689 130252 195378 227941 260504 293067 390756 423319 455882 521008 586134 683823 781512 846638 911764 1172268 1269957 1367646 1563024 1693276 1823528 2051469 2344536 2539914 2735292 2963233 3386552 3647056 3809871 4102938 4689072 5079828 5470584 5926466 6773104 7619742 8205876 8889699 10159656 10941168 11852932 15239484 16411752 17779398 20319312 23705864 26669097 30478968 32823504 35558796 47411728 53338194 60957936 71117592 106676388 142235184 213352776 426705552