Search a number
-
+
380858192 = 241113198761
BaseRepresentation
bin10110101100110…
…110111101010000
3222112122121012222
4112230312331100
51234444430232
6101443040212
712303145511
oct2654667520
9875577188
10380858192
11185a91440
12a7670068
1360b9b9a0
1438820a08
1523681d12
hex16b36f50

380858192 has 80 divisors (see below), whose sum is σ = 912649920. Its totient is φ = 151372800.

The previous prime is 380858183. The next prime is 380858221. The reversal of 380858192 is 291858083.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39092 + ... + 47852.

It is an arithmetic number, because the mean of its divisors is an integer number (11408124).

Almost surely, 2380858192 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 380858192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456324960).

380858192 is an abundant number, since it is smaller than the sum of its proper divisors (531791728).

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

380858192 is a wasteful number, since it uses less digits than its factorization.

380858192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 380858192 is about 19515.5884359145. The cubic root of 380858192 is about 724.8604992001.

The spelling of 380858192 in words is "three hundred eighty million, eight hundred fifty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 3344 3952 5434 8761 10868 17522 21736 35044 43472 70088 96371 113893 140176 166459 192742 227786 332918 385484 455572 665836 770968 911144 1252823 1331672 1541936 1822288 1831049 2163967 2505646 2663344 3662098 4327934 5011292 7324196 8655868 10022584 14648392 17311736 20045168 23803637 29296784 34623472 47607274 95214548 190429096 380858192