Search a number
-
+
379851136 = 277271853
BaseRepresentation
bin10110101001000…
…001000110000000
3222110202102210121
4112221001012000
51234220214021
6101405310024
712261452500
oct2651010600
9873672717
10379851136
11185463865
12a7265314
13609084b2
143863ba00
1523533741
hex16a41180

379851136 has 96 divisors (see below), whose sum is σ = 893728080. Its totient is φ = 160312320.

The previous prime is 379851113. The next prime is 379851149. The reversal of 379851136 is 631158973.

It is a junction number, because it is equal to n+sod(n) for n = 379851092 and 379851101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444886 + ... + 445738.

Almost surely, 2379851136 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 379851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446864040).

379851136 is an abundant number, since it is smaller than the sum of its proper divisors (513876944).

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

379851136 is an equidigital number, since it uses as much as digits as its factorization.

379851136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 933 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 379851136 is about 19489.7700345592. The cubic root of 379851136 is about 724.2210490748.

The spelling of 379851136 in words is "three hundred seventy-nine million, eight hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 196 224 284 392 448 497 568 784 853 896 994 1136 1568 1706 1988 2272 3136 3412 3479 3976 4544 5971 6272 6824 6958 7952 9088 11942 13648 13916 15904 23884 27296 27832 31808 41797 47768 54592 55664 60563 63616 83594 95536 109184 111328 121126 167188 191072 222656 242252 334376 382144 423941 445312 484504 668752 764288 847882 969008 1337504 1695764 1938016 2675008 2967587 3391528 3876032 5350016 5935174 6783056 7752064 11870348 13566112 23740696 27132224 47481392 54264448 94962784 189925568 379851136