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378580552 = 237234167107
BaseRepresentation
bin10110100100001…
…010111001001000
3222101100212212221
4112210022321020
51233404034202
6101322143424
712244611250
oct2644127110
9871325787
10378580552
11184776199
12a6951b74
136058207c
14383ca960
1523382037
hex1690ae48

378580552 has 128 divisors (see below), whose sum is σ = 888330240. Its totient is φ = 147755520.

The previous prime is 378580549. The next prime is 378580583. The reversal of 378580552 is 255085873.

It is a junction number, because it is equal to n+sod(n) for n = 378580499 and 378580508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3538083 + ... + 3538189.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2378580552 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 378580552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

378580552 is an abundant number, since it is smaller than the sum of its proper divisors (509749688).

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

378580552 is a wasteful number, since it uses less digits than its factorization.

378580552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The square root of 378580552 is about 19457.1465533875. The cubic root of 378580552 is about 723.4126520553.

The spelling of 378580552 in words is "three hundred seventy-eight million, five hundred eighty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 67 82 92 107 134 161 164 184 214 268 287 322 328 428 469 536 574 644 749 856 938 943 1148 1288 1498 1541 1876 1886 2296 2461 2747 2996 3082 3752 3772 4387 4922 5494 5992 6164 6601 7169 7544 8774 9844 10787 10988 12328 13202 14338 17227 17548 19229 19688 21574 21976 26404 28676 30709 34454 35096 38458 43148 50183 52808 57352 61418 63181 68908 76916 86296 100366 100901 122836 126362 137816 153832 164887 200732 201802 245672 252724 293929 329774 401464 403604 442267 505448 587858 659548 706307 807208 884534 1154209 1175716 1319096 1412614 1769068 2057503 2308418 2351432 2825228 3538136 4115006 4616836 5650456 6760367 8230012 9233672 13520734 16460024 27041468 47322569 54082936 94645138 189290276 378580552