Search a number
-
+
629953272 = 2332131634129
BaseRepresentation
bin100101100011000…
…101001011111000
31121220100221102200
4211203011023320
52242232001042
6142302030200
721416341314
oct4543051370
91556327380
10629953272
112a3657243
12156b78360
13a0685520
145d942b44
153a487c4c
hex258c52f8

629953272 has 96 divisors (see below), whose sum is σ = 1849083600. Its totient is φ = 192595968.

The previous prime is 629953271. The next prime is 629953277. The reversal of 629953272 is 272359926.

It is a happy number.

It is a super-2 number, since 2×6299532722 = 793682249807011968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629953271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150504 + ... + 154632.

Almost surely, 2629953272 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 629953272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924541800).

629953272 is an abundant number, since it is smaller than the sum of its proper divisors (1219130328).

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

629953272 is a wasteful number, since it uses less digits than its factorization.

629953272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4310 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 629953272 is about 25098.8699347202. The cubic root of 629953272 is about 857.2406929277.

The spelling of 629953272 in words is "six hundred twenty-nine million, nine hundred fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 163 234 312 326 468 489 652 936 978 1304 1467 1956 2119 2934 3912 4129 4238 5868 6357 8258 8476 11736 12387 12714 16516 16952 19071 24774 25428 33032 37161 38142 49548 50856 53677 74322 76284 99096 107354 148644 152568 161031 214708 297288 322062 429416 483093 644124 673027 966186 1288248 1346054 1932372 2019081 2692108 3864744 4038162 5384216 6057243 8076324 8749351 12114486 16152648 17498702 24228972 26248053 34997404 48457944 52496106 69994808 78744159 104992212 157488318 209984424 314976636 629953272