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376249248 = 253219292371
BaseRepresentation
bin10110011011010…
…001101110100000
3222012222102221100
4112123101232200
51232304433443
6101200154400
712216031404
oct2633215640
9865872840
10376249248
111834236a1
12a6008a00
135cc46bbb
1437d81104
15230713d3
hex166d1ba0

376249248 has 144 divisors (see below), whose sum is σ = 1165600800. Its totient is φ = 114670080.

The previous prime is 376249243. The next prime is 376249261. The reversal of 376249248 is 842942673.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376249243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157503 + ... + 159873.

It is an arithmetic number, because the mean of its divisors is an integer number (8094450).

Almost surely, 2376249248 is an apocalyptic number.

376249248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582800400).

376249248 is an abundant number, since it is smaller than the sum of its proper divisors (789351552).

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

376249248 is a wasteful number, since it uses less digits than its factorization.

376249248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2424 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 376249248 is about 19397.1453569849. The cubic root of 376249248 is about 721.9246653185.

The spelling of 376249248 in words is "three hundred seventy-six million, two hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 72 76 87 96 114 116 144 152 171 174 228 232 261 288 304 342 348 456 464 522 551 608 684 696 912 928 1044 1102 1368 1392 1653 1824 2088 2204 2371 2736 2784 3306 4176 4408 4742 4959 5472 6612 7113 8352 8816 9484 9918 13224 14226 17632 18968 19836 21339 26448 28452 37936 39672 42678 45049 52896 56904 68759 75872 79344 85356 90098 113808 135147 137518 158688 170712 180196 206277 227616 270294 275036 341424 360392 405441 412554 540588 550072 618831 682848 720784 810882 825108 1081176 1100144 1237662 1306421 1441568 1621764 1650216 2162352 2200288 2475324 2612842 3243528 3300432 3919263 4324704 4950648 5225684 6487056 6600864 7838526 9901296 10451368 11757789 12974112 15677052 19802592 20902736 23515578 31354104 41805472 47031156 62708208 94062312 125416416 188124624 376249248