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493239552 = 28313127389
BaseRepresentation
bin11101011001100…
…011110100000000
31021101010011110120
4131121203310000
52002232131202
6120535500240
715136316121
oct3531436400
91241104416
10493239552
1123346a1a3
12119227680
137b258c30
1449716048
152d4800bc
hex1d663d00

493239552 has 144 divisors (see below), whose sum is σ = 1428510720. Its totient is φ = 150183936.

The previous prime is 493239533. The next prime is 493239583. The reversal of 493239552 is 255932394.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267774 + ... + 1268162.

Almost surely, 2493239552 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 493239552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255360).

493239552 is an abundant number, since it is smaller than the sum of its proper divisors (935271168).

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

493239552 is a wasteful number, since it uses less digits than its factorization.

493239552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 493239552 is about 22208.9970957718. The cubic root of 493239552 is about 790.1071007923.

The spelling of 493239552 in words is "four hundred ninety-three million, two hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 256 312 381 384 389 416 508 624 762 768 778 832 1016 1167 1248 1524 1556 1651 1664 2032 2334 2496 3048 3112 3302 3328 4064 4668 4953 4992 5057 6096 6224 6604 8128 9336 9906 9984 10114 12192 12448 13208 15171 16256 18672 19812 20228 24384 24896 26416 30342 32512 37344 39624 40456 48768 49403 49792 52832 60684 74688 79248 80912 97536 98806 99584 105664 121368 148209 149376 158496 161824 197612 211328 242736 296418 298752 316992 323648 395224 422656 485472 592836 633984 642239 647296 790448 970944 1185672 1267968 1284478 1294592 1580896 1926717 1941888 2371344 2568956 3161792 3853434 3883776 4742688 5137912 6323584 7706868 9485376 10275824 12647168 15413736 18970752 20551648 30827472 37941504 41103296 61654944 82206592 123309888 164413184 246619776 493239552