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290438752 = 25313741193
BaseRepresentation
bin10001010011111…
…011111001100000
3202020111211001211
4101103323321200
51043323020002
644453035504
710124455132
oct2123737140
9666454054
10290438752
11139a43a2a
1281325b94
1348230b66
142a805052
151a770dd7
hex114fbe60

290438752 has 96 divisors (see below), whose sum is σ = 624201984. Its totient is φ = 132710400.

The previous prime is 290438719. The next prime is 290438809. The reversal of 290438752 is 257834092.

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, 1504768 + ... + 1504960.

It is an arithmetic number, because the mean of its divisors is an integer number (6502104).

Almost surely, 2290438752 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 290438752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312100992).

290438752 is an abundant number, since it is smaller than the sum of its proper divisors (333763232).

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

290438752 is a wasteful number, since it uses less digits than its factorization.

290438752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 290438752 is about 17042.2636994033. The cubic root of 290438752 is about 662.2442364814.

The spelling of 290438752 in words is "two hundred ninety million, four hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 37 41 62 74 82 124 148 164 193 248 296 328 386 496 592 656 772 992 1147 1184 1271 1312 1517 1544 2294 2542 3034 3088 4588 5084 5983 6068 6176 7141 7913 9176 10168 11966 12136 14282 15826 18352 20336 23932 24272 28564 31652 36704 40672 47027 47864 48544 57128 63304 94054 95728 114256 126608 188108 191456 221371 228512 245303 253216 292781 376216 442742 490606 585562 752432 885484 981212 1171124 1504864 1770968 1962424 2342248 3541936 3924848 4684496 7083872 7849696 9076211 9368992 18152422 36304844 72609688 145219376 290438752