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590057472 = 2123311549
BaseRepresentation
bin100011001010111…
…001000000000000
31112010022000200110
4203022321000000
52202023314342
6134314551320
720423256114
oct4312710000
91463260613
10590057472
11283087a04
12145738540
1395327244
1458519744
1536c06c9c
hex232b9000

590057472 has 104 divisors (see below), whose sum is σ = 1625094400. Its totient is φ = 190218240.

The previous prime is 590057449. The next prime is 590057473. The reversal of 590057472 is 274750095.

It is a self number, because there is not a number n which added to its sum of digits gives 590057472.

It is not an unprimeable number, because it can be changed into a prime (590057473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380154 + ... + 381702.

Almost surely, 2590057472 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 590057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812547200).

590057472 is an abundant number, since it is smaller than the sum of its proper divisors (1035036928).

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

590057472 is a wasteful number, since it uses less digits than its factorization.

590057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 590057472 is about 24291.0986165715. The cubic root of 590057472 is about 838.7478850755.

The spelling of 590057472 in words is "five hundred ninety million, fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1549 1984 2048 2976 3072 3098 3968 4096 4647 5952 6144 6196 7936 9294 11904 12288 12392 15872 18588 23808 24784 31744 37176 47616 48019 49568 63488 74352 95232 96038 99136 126976 144057 148704 190464 192076 198272 288114 297408 380928 384152 396544 576228 594816 768304 793088 1152456 1189632 1536608 1586176 2304912 2379264 3073216 3172352 4609824 4758528 6146432 6344704 9219648 9517056 12292864 18439296 19034112 24585728 36878592 49171456 73757184 98342912 147514368 196685824 295028736 590057472