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426031488 = 273513697
BaseRepresentation
bin11001011001001…
…011100110000000
31002200122122100000
4121121023212000
51333031001423
6110135200000
713362131211
oct3131134600
91080578300
10426031488
111a9535843
12ba816000
136a35714c
144081d408
1527606843
hex1964b980

426031488 has 96 divisors (see below), whose sum is σ = 1271448360. Its totient is φ = 142000128.

The previous prime is 426031477. The next prime is 426031511. The reversal of 426031488 is 884130624.

426031488 is a `hidden beast` number, since 4 + 2 + 603 + 1 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24256 + ... + 37952.

Almost surely, 2426031488 is an apocalyptic number.

426031488 is a gapful number since it is divisible by the number (48) 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 426031488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635724180).

426031488 is an abundant number, since it is smaller than the sum of its proper divisors (845416872).

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

426031488 is an equidigital number, since it uses as much as digits as its factorization.

426031488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13726 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 426031488 is about 20640.5302257476. The cubic root of 426031488 is about 752.4550588128.

The spelling of 426031488 in words is "four hundred twenty-six million, thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 13697 15552 27394 31104 41091 54788 82182 109576 123273 164364 219152 246546 328728 369819 438304 493092 657456 739638 876608 986184 1109457 1314912 1479276 1753216 1972368 2218914 2629824 2958552 3328371 3944736 4437828 5259648 5917104 6656742 7889472 8875656 11834208 13313484 15778944 17751312 23668416 26626968 35502624 47336832 53253936 71005248 106507872 142010496 213015744 426031488