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552353004 = 2232723157607
BaseRepresentation
bin100000111011000…
…011110011101100
31102111100102212200
4200323003303230
52112400244004
6130450501500
716454631420
oct4073036354
91374312780
10552353004
11263874a95
12134b94890
138a5854c8
1453502b80
153375a239
hex20ec3cec

552353004 has 144 divisors (see below), whose sum is σ = 1678430208. Its totient is φ = 149745024.

The previous prime is 552352993. The next prime is 552353041. The reversal of 552353004 is 400353255.

552353004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909669 + ... + 910275.

Almost surely, 2552353004 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 552353004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839215104).

552353004 is an abundant number, since it is smaller than the sum of its proper divisors (1126077204).

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

552353004 is a wasteful number, since it uses less digits than its factorization.

552353004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 552353004 is about 23502.1914722862. The cubic root of 552353004 is about 820.4880121061.

Subtracting from 552353004 its product of nonzero digits (9000), we obtain a square (552344004 = 235022).

The spelling of 552353004 in words is "five hundred fifty-two million, three hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 157 161 207 252 276 314 322 414 471 483 607 628 644 828 942 966 1099 1214 1413 1449 1821 1884 1932 2198 2428 2826 2898 3297 3611 3642 4249 4396 5463 5652 5796 6594 7222 7284 8498 9891 10833 10926 12747 13188 13961 14444 16996 19782 21666 21852 25277 25494 27922 32499 38241 39564 41883 43332 50554 50988 55844 64998 75831 76482 83766 95299 97727 101108 125649 129996 151662 152964 167532 190598 195454 227493 251298 285897 293181 303324 381196 390908 454986 502596 571794 586362 667093 857691 879543 909972 1143588 1172724 1334186 1715382 1759086 2001279 2191877 2668372 3430764 3518172 4002558 4383754 6003837 6575631 8005116 8767508 12007674 13151262 15343139 19726893 24015348 26302524 30686278 39453786 46029417 61372556 78907572 92058834 138088251 184117668 276176502 552353004