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649949472 = 253231431693
BaseRepresentation
bin100110101111010…
…111000100100000
31200021222212001200
4212233113010200
52312341340342
6144254401200
722051323264
oct4657270440
91607885050
10649949472
11303974727
12161800200
13a4866cb3
146246a0a4
153c0d794c
hex26bd7120

649949472 has 144 divisors (see below), whose sum is σ = 1953439488. Its totient is φ = 204664320.

The previous prime is 649949431. The next prime is 649949477. The reversal of 649949472 is 274949946.

649949472 is a `hidden beast` number, since 64 + 99 + 494 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (649949477) 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, 383058 + ... + 384750.

It is an arithmetic number, because the mean of its divisors is an integer number (13565552).

Almost surely, 2649949472 is an apocalyptic number.

649949472 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 649949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976719744).

649949472 is an abundant number, since it is smaller than the sum of its proper divisors (1303490016).

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

649949472 is a wasteful number, since it uses less digits than its factorization.

649949472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1772 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 649949472 is about 25494.1066130979. The cubic root of 649949472 is about 866.2166589493.

The spelling of 649949472 in words is "six hundred forty-nine million, nine hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 43 48 62 72 86 93 96 124 129 144 172 186 248 258 279 288 344 372 387 496 516 558 688 744 774 992 1032 1116 1333 1376 1488 1548 1693 2064 2232 2666 2976 3096 3386 3999 4128 4464 5079 5332 6192 6772 7998 8928 10158 10664 11997 12384 13544 15237 15996 20316 21328 23994 27088 30474 31992 40632 42656 47988 52483 54176 60948 63984 72799 81264 95976 104966 121896 127968 145598 157449 162528 191952 209932 218397 243792 291196 314898 383904 419864 436794 472347 487584 582392 629796 655191 839728 873588 944694 1164784 1259592 1310382 1679456 1747176 1889388 2256769 2329568 2519184 2620764 3494352 3778776 4513538 5038368 5241528 6770307 6988704 7557552 9027076 10483056 13540614 15115104 18054152 20310921 20966112 27081228 36108304 40621842 54162456 72216608 81243684 108324912 162487368 216649824 324974736 649949472