Search a number
-
+
77949438 = 237192331137
BaseRepresentation
bin1001010010101…
…10100111111110
312102200020112020
410221112213332
5124423340223
611422421010
71634362560
oct451264776
9172606466
1077949438
1140000626
1222131766
13131c2c38
14a4d1330
156c9b1e3
hex4a569fe

77949438 has 128 divisors (see below), whose sum is σ = 203489280. Its totient is φ = 19388160.

The previous prime is 77949373. The next prime is 77949463. The reversal of 77949438 is 83494977.

It is a happy number.

It is a super-2 number, since 2×779494382 = 12152229769031688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568906 + ... + 569042.

It is an arithmetic number, because the mean of its divisors is an integer number (1589760).

Almost surely, 277949438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77949438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101744640).

77949438 is an abundant number, since it is smaller than the sum of its proper divisors (125539842).

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

77949438 is a wasteful number, since it uses less digits than its factorization.

77949438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its digits is 1524096, while the sum is 51.

The square root of 77949438 is about 8828.8978927157. The cubic root of 77949438 is about 427.1735259198.

It can be divided in two parts, 77949 and 438, that added together give a palindrome (78387).

The spelling of 77949438 in words is "seventy-seven million, nine hundred forty-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 23 31 38 42 46 57 62 69 93 114 133 137 138 161 186 217 266 274 322 399 411 434 437 483 589 651 713 798 822 874 959 966 1178 1302 1311 1426 1767 1918 2139 2603 2622 2877 3059 3151 3534 4123 4247 4278 4991 5206 5754 6118 6302 7809 8246 8494 9177 9453 9982 12369 12741 13547 14973 15618 18221 18354 18906 22057 24738 25482 27094 29729 29946 36442 40641 44114 54663 59458 59869 66171 80693 81282 89187 94829 97681 109326 119738 132342 161386 178374 179607 189658 195362 242079 284487 293043 359214 419083 484158 564851 568974 586086 683767 838166 1129702 1257249 1367534 1694553 1855939 2051301 2514498 3389106 3711878 4102602 5567817 11135634 12991573 25983146 38974719 77949438