Search a number
-
+
554847972 = 2237217471181
BaseRepresentation
bin100001000100100…
…100111011100100
31102200001012022220
4201010210323210
52114020113342
6131020152340
716515062400
oct4104447344
91380035286
10554847972
11265219548
121359986b0
138ac4a013
1453992100
1533a9e5ec
hex21124ee4

554847972 has 144 divisors (see below), whose sum is σ = 1629911808. Its totient is φ = 145904640.

The previous prime is 554847941. The next prime is 554848081. The reversal of 554847972 is 279748455.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 469222 + ... + 470402.

It is an arithmetic number, because the mean of its divisors is an integer number (11318832).

Almost surely, 2554847972 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 554847972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814955904).

554847972 is an abundant number, since it is smaller than the sum of its proper divisors (1075063836).

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

554847972 is a wasteful number, since it uses less digits than its factorization.

554847972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The square root of 554847972 is about 23555.2111431844. The cubic root of 554847972 is about 821.7215329446.

The spelling of 554847972 in words is "five hundred fifty-four million, eight hundred forty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 47 49 51 68 84 94 98 102 119 141 147 188 196 204 238 282 294 329 357 476 564 588 658 714 799 833 987 1181 1316 1428 1598 1666 1974 2303 2362 2397 2499 3196 3332 3543 3948 4606 4724 4794 4998 5593 6909 7086 8267 9212 9588 9996 11186 13818 14172 16534 16779 20077 22372 24801 27636 33068 33558 39151 40154 49602 55507 57869 60231 67116 78302 80308 99204 111014 115738 117453 120462 140539 156604 166521 173607 222028 231476 234906 240924 281078 333042 347214 388549 421617 469812 562156 666084 694428 777098 843234 943619 983773 1165647 1554196 1686468 1887238 1967546 2331294 2719843 2830857 2951319 3774476 3935092 4662588 5439686 5661714 5902638 6605333 8159529 10879372 11323428 11805276 13210666 16319058 19815999 26421332 32638116 39631998 46237331 79263996 92474662 138711993 184949324 277423986 554847972