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645773152 = 251731149257
BaseRepresentation
bin100110011111011…
…011011101100000
31200000010200020011
4212133123131200
52310304220102
6144025054304
722000660363
oct4637333540
91600120204
10645773152
11301581a22
12160327394
13a3a340bb
1461aa00da
153ba602d7
hex267db760

645773152 has 96 divisors (see below), whose sum is σ = 1404345600. Its totient is φ = 290979840.

The previous prime is 645773143. The next prime is 645773171. The reversal of 645773152 is 251377546.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2512608 + ... + 2512864.

It is an arithmetic number, because the mean of its divisors is an integer number (14628600).

Almost surely, 2645773152 is an apocalyptic number.

645773152 is a gapful number since it is divisible by the number (62) 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 645773152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702172800).

645773152 is an abundant number, since it is smaller than the sum of its proper divisors (758572448).

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

645773152 is a wasteful number, since it uses less digits than its factorization.

645773152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 645773152 is about 25412.0670548462. The cubic root of 645773152 is about 864.3573481804.

The spelling of 645773152 in words is "six hundred forty-five million, seven hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 149 248 257 272 298 496 514 527 544 596 992 1028 1054 1192 2056 2108 2384 2533 4112 4216 4369 4619 4768 5066 7967 8224 8432 8738 9238 10132 15934 16864 17476 18476 20264 31868 34952 36952 38293 40528 63736 69904 73904 76586 78523 81056 127472 135439 139808 147808 153172 157046 254944 270878 306344 314092 541756 612688 628184 650981 1083512 1187083 1225376 1256368 1301962 2167024 2374166 2512736 2603924 4334048 4748332 5207848 9496664 10415696 18993328 20180411 20831392 37986656 40360822 80721644 161443288 322886576 645773152