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422765728 = 257211127193
BaseRepresentation
bin11001001100101…
…110010010100000
31002110111201112221
4121030232102200
51331212000403
6105541200424
713322310100
oct3114562240
91073451487
10422765728
111a7705170
12b9700114
1369782848
144020d200
15271addbd
hex1932e4a0

422765728 has 144 divisors (see below), whose sum is σ = 1070060544. Its totient is φ = 162570240.

The previous prime is 422765671. The next prime is 422765731. The reversal of 422765728 is 827567224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190400 + ... + 2190592.

It is an arithmetic number, because the mean of its divisors is an integer number (7430976).

Almost surely, 2422765728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422765728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535030272).

422765728 is an abundant number, since it is smaller than the sum of its proper divisors (647294816).

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

422765728 is a wasteful number, since it uses less digits than its factorization.

422765728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The square root of 422765728 is about 20561.2676652000. The cubic root of 422765728 is about 750.5274677649.

The spelling of 422765728 in words is "four hundred twenty-two million, seven hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 127 154 176 193 196 224 254 308 352 386 392 508 539 616 772 784 889 1016 1078 1232 1351 1397 1544 1568 1778 2032 2123 2156 2464 2702 2794 3088 3556 4064 4246 4312 5404 5588 6176 6223 7112 8492 8624 9457 9779 10808 11176 12446 14224 14861 16984 17248 18914 19558 21616 22352 24511 24892 28448 29722 33968 37828 39116 43232 44704 49022 49784 59444 67936 68453 75656 78232 98044 99568 104027 118888 136906 151312 156464 171577 196088 199136 208054 237776 269621 273812 302624 312928 343154 392176 416108 475552 539242 547624 686308 784352 832216 1078484 1095248 1201039 1372616 1664432 1887347 2156968 2190496 2402078 2745232 3328864 3774694 4313936 4804156 5490464 7549388 8627872 9608312 13211429 15098776 19216624 26422858 30197552 38433248 52845716 60395104 105691432 211382864 422765728