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551295072 = 2535312287
BaseRepresentation
bin100000110111000…
…001100001100000
31102102100200200000
4200313001201200
52112112420242
6130412100000
716442634156
oct4067014140
91372320600
10551295072
11263212169
12134764600
138a2a4b03
14533093d6
15335eba4c
hex20dc1860

551295072 has 144 divisors (see below), whose sum is σ = 1678989312. Its totient is φ = 177759360.

The previous prime is 551295011. The next prime is 551295109. The reversal of 551295072 is 270592155.

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

It is a super-2 number, since 2×5512950722 = 607852512822970368, which contains 22 as substring.

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, 239913 + ... + 242199.

It is an arithmetic number, because the mean of its divisors is an integer number (11659648).

Almost surely, 2551295072 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 551295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839494656).

551295072 is an abundant number, since it is smaller than the sum of its proper divisors (1127694240).

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

551295072 is a wasteful number, since it uses less digits than its factorization.

551295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 551295072 is about 23479.6735922798. The cubic root of 551295072 is about 819.9638453224.

The spelling of 551295072 in words is "five hundred fifty-one million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2287 2511 2592 2976 3348 3888 4464 4574 5022 6696 6861 7533 7776 8928 9148 10044 13392 13722 15066 18296 20088 20583 26784 27444 30132 36592 40176 41166 54888 60264 61749 70897 73184 80352 82332 109776 120528 123498 141794 164664 185247 212691 219552 241056 246996 283588 329328 370494 425382 493992 555741 567176 638073 658656 740988 850764 987984 1111482 1134352 1276146 1481976 1701528 1914219 1975968 2222964 2268704 2552292 2963952 3403056 3828438 4445928 5104584 5742657 5927904 6806112 7656876 8891856 10209168 11485314 15313752 17227971 17783712 20418336 22970628 30627504 34455942 45941256 61255008 68911884 91882512 137823768 183765024 275647536 551295072