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553058304 = 21632997
BaseRepresentation
bin100000111101110…
…000000000000000
31102112200021100220
4200331300000000
52113040331204
6130513543040
716463626611
oct4075600000
91375607326
10553058304
11264206987
12135274a80
138a771546
1453647c08
15338491d9
hex20f70000

553058304 has 136 divisors (see below), whose sum is σ = 1541394960. Its totient is φ = 176160768.

The previous prime is 553058287. The next prime is 553058309. The reversal of 553058304 is 403850355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553058309) 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, 5701584 + ... + 5701680.

Almost surely, 2553058304 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 553058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770697480).

553058304 is an abundant number, since it is smaller than the sum of its proper divisors (988336656).

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

553058304 is an frugal number, since it uses more digits than its factorization.

553058304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 553058304 is about 23517.1916690748. The cubic root of 553058304 is about 820.8370908386.

The spelling of 553058304 in words is "five hundred fifty-three million, fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 97 116 128 174 192 194 232 256 291 348 384 388 464 512 582 696 768 776 928 1024 1164 1392 1536 1552 1856 2048 2328 2784 2813 3072 3104 3712 4096 4656 5568 5626 6144 6208 7424 8192 8439 9312 11136 11252 12288 12416 14848 16384 16878 18624 22272 22504 24576 24832 29696 32768 33756 37248 44544 45008 49152 49664 59392 65536 67512 74496 89088 90016 98304 99328 118784 135024 148992 178176 180032 196608 198656 237568 270048 297984 356352 360064 397312 475136 540096 595968 712704 720128 794624 950272 1080192 1191936 1425408 1440256 1589248 1900544 2160384 2383872 2850816 2880512 3178496 4320768 4767744 5701632 5761024 6356992 8641536 9535488 11522048 17283072 19070976 23044096 34566144 46088192 69132288 92176384 138264576 184352768 276529152 553058304