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764141742 = 233713236761
BaseRepresentation
bin101101100010111…
…110000010101110
31222020212102102000
4231202332002232
53031110013432
6203454113130
724636045330
oct5542760256
91866772360
10764141742
1136237a001
12193aab7a6
13c24095a0
14736b3450
154714257c
hex2d8be0ae

764141742 has 128 divisors (see below), whose sum is σ = 2181150720. Its totient is φ = 192741120.

The previous prime is 764141737. The next prime is 764141743. The reversal of 764141742 is 247141467.

It is a happy number.

764141742 is a `hidden beast` number, since 7 + 641 + 4 + 1 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 764141697 and 764141706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764141743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109642 + ... + 116402.

It is an arithmetic number, because the mean of its divisors is an integer number (17040240).

Almost surely, 2764141742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764141742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090575360).

764141742 is an abundant number, since it is smaller than the sum of its proper divisors (1417008978).

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

764141742 is a wasteful number, since it uses less digits than its factorization.

764141742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6809 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 764141742 is about 27643.1138260508. The cubic root of 764141742 is about 914.2352761261.

The spelling of 764141742 in words is "seven hundred sixty-four million, one hundred forty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 27 39 42 46 54 63 69 78 91 117 126 138 161 182 189 207 234 273 299 322 351 378 414 483 546 598 621 702 819 897 966 1242 1449 1638 1794 2093 2457 2691 2898 4186 4347 4914 5382 6279 6761 8073 8694 12558 13522 16146 18837 20283 37674 40566 47327 56511 60849 87893 94654 113022 121698 141981 155503 175786 182547 263679 283962 311006 365094 425943 466509 527358 615251 791037 851886 933018 1088521 1230502 1277829 1399527 1582074 1845753 2021539 2177042 2373111 2555658 2799054 3265563 3691506 4043078 4198581 4746222 5537259 6064617 6531126 8397162 9796689 11074518 12129234 14150773 16611777 18193851 19593378 28301546 29390067 33223554 36387702 42452319 54581553 58780134 84904638 109163106 127356957 254713914 382070871 764141742