Search a number
-
+
630526464 = 2933172683
BaseRepresentation
bin100101100101010…
…001001000000000
31121221110001201000
4211211101020000
52242403321324
6142322212000
721424246401
oct4545211000
91557401630
10630526464
112a3a08957
121571b4000
13a08263a9
145da519a8
153a54c9c9
hex25951200

630526464 has 160 divisors (see below), whose sum is σ = 1976927040. Its totient is φ = 197738496.

The previous prime is 630526427. The next prime is 630526469. The reversal of 630526464 is 464625036.

630526464 is a `hidden beast` number, since 6 + 3 + 0 + 5 + 2 + 646 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (630526469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233667 + ... + 236349.

It is an arithmetic number, because the mean of its divisors is an integer number (12355794).

Almost surely, 2630526464 is an apocalyptic number.

630526464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988463520).

630526464 is an abundant number, since it is smaller than the sum of its proper divisors (1346400576).

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

630526464 is a wasteful number, since it uses less digits than its factorization.

630526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 630526464 is about 25110.2860198764. The cubic root of 630526464 is about 857.5006140861.

The spelling of 630526464 in words is "six hundred thirty million, five hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 2683 3264 3456 3672 4352 4608 4896 5366 6528 6912 7344 8049 8704 9792 10732 13056 13824 14688 16098 19584 21464 24147 26112 29376 32196 39168 42928 45611 48294 58752 64392 72441 78336 85856 91222 96588 117504 128784 136833 144882 171712 182444 193176 235008 257568 273666 289764 343424 364888 386352 410499 515136 547332 579528 686848 729776 772704 820998 1030272 1094664 1159056 1231497 1373696 1459552 1545408 1641996 2060544 2189328 2318112 2462994 2919104 3090816 3283992 4121088 4378656 4636224 4925988 5838208 6181632 6567984 8757312 9272448 9851976 11676416 12363264 13135968 17514624 18544896 19703952 23352832 26271936 35029248 37089792 39407904 52543872 70058496 78815808 105087744 157631616 210175488 315263232 630526464