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648540640 = 255112139241
BaseRepresentation
bin100110101001111…
…111000111100000
31200012100021111201
4212221333013200
52312011300030
6144204250544
722033335016
oct4651770740
91605307451
10648540640
113030a2200
12161240a54
13a4492977
14621c08b6
153be0a2ca
hex26a7f1e0

648540640 has 144 divisors (see below), whose sum is σ = 1703283120. Its totient is φ = 233164800.

The previous prime is 648540619. The next prime is 648540649. The reversal of 648540640 is 46045846.

It is a self number, because there is not a number n which added to its sum of digits gives 648540640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648540649) 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, 2690920 + ... + 2691160.

It is an arithmetic number, because the mean of its divisors is an integer number (11828355).

Almost surely, 2648540640 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 648540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851641560).

648540640 is an abundant number, since it is smaller than the sum of its proper divisors (1054742480).

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

648540640 is a wasteful number, since it uses less digits than its factorization.

648540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 648540640 is about 25466.4610811946. The cubic root of 648540640 is about 865.5903351035.

The spelling of 648540640 in words is "six hundred forty-eight million, five hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 139 160 176 220 241 242 278 352 440 482 484 556 605 695 880 964 968 1112 1205 1210 1390 1529 1760 1928 1936 2224 2410 2420 2651 2780 3058 3856 3872 4448 4820 4840 5302 5560 6116 7645 7712 9640 9680 10604 11120 12232 13255 15290 16819 19280 19360 21208 22240 24464 26510 29161 30580 33499 33638 38560 42416 48928 53020 58322 61160 66998 67276 84095 84832 106040 116644 122320 133996 134552 145805 167495 168190 212080 233288 244640 267992 269104 291610 334990 336380 368489 424160 466576 535984 538208 583220 669980 672760 736978 933152 1071968 1166440 1339960 1345520 1473956 1842445 2332880 2679920 2691040 2947912 3684890 4053379 4665760 5359840 5895824 7369780 8106758 11791648 14739560 16213516 20266895 29479120 32427032 40533790 58958240 64854064 81067580 129708128 162135160 324270320 648540640