Search a number
-
+
648151040 = 21752343
BaseRepresentation
bin100110101000100…
…000000000000000
31200011121111002002
4212220200000000
52311411313130
6144152043132
722030123115
oct4650400000
91604544062
10648151040
11302956519
121610934a8
13a4387534
146211c90c
153bd7eb45
hex26a20000

648151040 has 144 divisors (see below), whose sum is σ = 1660938048. Its totient is φ = 242221056.

The previous prime is 648151033. The next prime is 648151117. The reversal of 648151040 is 40151846.

It is a junction number, because it is equal to n+sod(n) for n = 648150994 and 648151012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15073259 + ... + 15073301.

It is an arithmetic number, because the mean of its divisors is an integer number (11534292).

Almost surely, 2648151040 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 648151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830469024).

648151040 is an abundant number, since it is smaller than the sum of its proper divisors (1012787008).

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

648151040 is an frugal number, since it uses more digits than its factorization.

648151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 648151040 is about 25458.8106556453. The cubic root of 648151040 is about 865.4169707191.

The spelling of 648151040 in words is "six hundred forty-eight million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 43 46 64 80 86 92 115 128 160 172 184 215 230 256 320 344 368 430 460 512 640 688 736 860 920 989 1024 1280 1376 1472 1720 1840 1978 2048 2560 2752 2944 3440 3680 3956 4096 4945 5120 5504 5888 6880 7360 7912 8192 9890 10240 11008 11776 13760 14720 15824 16384 19780 20480 22016 23552 27520 29440 31648 32768 39560 40960 44032 47104 55040 58880 63296 65536 79120 81920 88064 94208 110080 117760 126592 131072 158240 163840 176128 188416 220160 235520 253184 316480 327680 352256 376832 440320 471040 506368 632960 655360 704512 753664 880640 942080 1012736 1265920 1409024 1507328 1761280 1884160 2025472 2531840 2818048 3014656 3522560 3768320 4050944 5063680 5636096 7045120 7536640 8101888 10127360 14090240 15073280 16203776 20254720 28180480 32407552 40509440 64815104 81018880 129630208 162037760 324075520 648151040