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426470352 = 243711196073
BaseRepresentation
bin11001011010110…
…110101111010000
31002201110221100020
4121122312233100
51333134022402
6110152423440
713365636540
oct3132665720
91081427306
10426470352
111a9805540
12ba9a7b80
136a47bb29
14408d5320
15276918bc
hex196b6bd0

426470352 has 160 divisors (see below), whose sum is σ = 1446097920. Its totient is φ = 104924160.

The previous prime is 426470327. The next prime is 426470377. The reversal of 426470352 is 253074624.

It is an interprime number because it is at equal distance from previous prime (426470327) and next prime (426470377).

It is a super-2 number, since 2×4264703522 = 363753922270007808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67188 + ... + 73260.

It is an arithmetic number, because the mean of its divisors is an integer number (9038112).

Almost surely, 2426470352 is an apocalyptic number.

426470352 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 426470352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723048960).

426470352 is an abundant number, since it is smaller than the sum of its proper divisors (1019627568).

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

426470352 is a wasteful number, since it uses less digits than its factorization.

426470352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 426470352 is about 20651.1586115646. The cubic root of 426470352 is about 752.7133434078.

The spelling of 426470352 in words is "four hundred twenty-six million, four hundred seventy thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6073 6384 8778 10032 11704 12146 17556 18219 23408 24292 35112 36438 42511 48584 66803 70224 72876 85022 97168 115387 127533 133606 145752 170044 200409 230774 255066 267212 291504 340088 346161 400818 461548 467621 510132 534424 680176 692322 801636 807709 923096 935242 1020264 1068848 1269257 1384644 1402863 1603272 1615418 1846192 1870484 2040528 2423127 2538514 2769288 2805726 3206544 3230836 3740968 3807771 4846254 5077028 5538576 5611452 6461672 7481936 7615542 8884799 9692508 10154056 11222904 12923344 15231084 17769598 19385016 20308112 22445808 26654397 30462168 35539196 38770032 53308794 60924336 71078392 106617588 142156784 213235176 426470352