Search a number
-
+
552292704 = 25322989743
BaseRepresentation
bin100000111010110…
…101000101100000
31102111020101011100
4200322311011200
52112341331304
6130445314400
716454260545
oct4072650540
91374211140
10552292704
11263833757
12134b65a00
138a563c22
14534c8bcc
1533747439
hex20eb5160

552292704 has 144 divisors (see below), whose sum is σ = 1645207200. Its totient is φ = 175515648.

The previous prime is 552292667. The next prime is 552292757. The reversal of 552292704 is 407292255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742957 + ... + 743699.

It is an arithmetic number, because the mean of its divisors is an integer number (11425050).

Almost surely, 2552292704 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 552292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822603600).

552292704 is an abundant number, since it is smaller than the sum of its proper divisors (1092914496).

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

552292704 is a wasteful number, since it uses less digits than its factorization.

552292704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 552292704 is about 23500.9085781805. The cubic root of 552292704 is about 820.4581536477.

The spelling of 552292704 in words is "five hundred fifty-two million, two hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 89 96 116 144 174 178 232 261 267 288 348 356 464 522 534 696 712 743 801 928 1044 1068 1392 1424 1486 1602 2088 2136 2229 2581 2784 2848 2972 3204 4176 4272 4458 5162 5944 6408 6687 7743 8352 8544 8916 10324 11888 12816 13374 15486 17832 20648 21547 23229 23776 25632 26748 30972 35664 41296 43094 46458 53496 61944 64641 66127 71328 82592 86188 92916 106992 123888 129282 132254 172376 185832 193923 198381 213984 247776 258564 264508 344752 371664 387846 396762 517128 529016 595143 689504 743328 775692 793524 1034256 1058032 1190286 1551384 1587048 1917683 2068512 2116064 2380572 3102768 3174096 3835366 4761144 5753049 6205536 6348192 7670732 9522288 11506098 15341464 17259147 19044576 23012196 30682928 34518294 46024392 61365856 69036588 92048784 138073176 184097568 276146352 552292704