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648648960 = 2835315449
BaseRepresentation
bin100110101010011…
…001100100000000
31200012112210002120
4212222121210000
52312023231320
6144210444240
722034265561
oct4652314400
91605483076
10648648960
11303166623
12161293680
13a450006b
146220c168
153be2c440
hex26a99900

648648960 has 144 divisors (see below), whose sum is σ = 2138841600. Its totient is φ = 167362560.

The previous prime is 648648953. The next prime is 648648997. The reversal of 648648960 is 69846846.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116316 + ... + 121764.

Almost surely, 2648648960 is an apocalyptic number.

648648960 is a gapful number since it is divisible by the number (60) 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 648648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069420800).

648648960 is an abundant number, since it is smaller than the sum of its proper divisors (1490192640).

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

648648960 is a wasteful number, since it uses less digits than its factorization.

648648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 648648960 is about 25468.5877111394. The cubic root of 648648960 is about 865.6385230503.

The spelling of 648648960 in words is "six hundred forty-eight million, six hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5449 5952 7440 7936 9920 10898 11904 14880 16347 19840 21796 23808 27245 29760 32694 39680 43592 54490 59520 65388 81735 87184 108980 119040 130776 163470 168919 174368 217960 261552 326940 337838 348736 435920 506757 523104 653880 675676 697472 844595 871840 1013514 1046208 1307760 1351352 1394944 1689190 1743680 2027028 2092416 2533785 2615520 2702704 3378380 3487360 4054056 4184832 5067570 5231040 5405408 6756760 6974720 8108112 10135140 10462080 10810816 13513520 16216224 20270280 20924160 21621632 27027040 32432448 40540560 43243264 54054080 64864896 81081120 108108160 129729792 162162240 216216320 324324480 648648960