Search a number
-
+
77351428 = 22711217279
BaseRepresentation
bin1001001110001…
…00101000000100
312101112212012201
410213010220010
5124300221203
611401524244
71626322240
oct447045004
9171485181
1077351428
113a732300
1221aa3684
131304399b
14a3b7420
156bcde1d
hex49c4a04

77351428 has 108 divisors (see below), whose sum is σ = 182922880. Its totient is φ = 28005120.

The previous prime is 77351401. The next prime is 77351429. The reversal of 77351428 is 82415377.

It is not an unprimeable number, because it can be changed into a prime (77351429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979093 + ... + 979171.

Almost surely, 277351428 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 77351428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91461440).

77351428 is an abundant number, since it is smaller than the sum of its proper divisors (105571452).

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

77351428 is a wasteful number, since it uses less digits than its factorization.

77351428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 77351428 is about 8794.9660601960. The cubic root of 77351428 is about 426.0783283714.

The spelling of 77351428 in words is "seventy-seven million, three hundred fifty-one thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 79 119 121 154 158 187 238 242 289 308 316 374 476 484 553 578 748 847 869 1106 1156 1309 1343 1694 1738 2023 2057 2212 2618 2686 3179 3388 3476 4046 4114 5236 5372 6083 6358 8092 8228 9401 9559 12166 12716 14399 14773 18802 19118 22253 22831 24332 28798 29546 34969 37604 38236 44506 45662 57596 59092 66913 69938 89012 91324 103411 133826 139876 159817 162503 206822 244783 251141 267652 319634 325006 413644 489566 502282 639268 650012 979132 1004564 1137521 1757987 2275042 2762551 3515974 4550084 5525102 7031948 11050204 19337857 38675714 77351428