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649098240 = 2103576037
BaseRepresentation
bin100110101100000…
…111010000000000
31200020101121101120
4212230013100000
52312132120430
6144224232240
722041146460
oct4654072000
91606347346
10649098240
1130344312a
1216146b680
13a46296cb
14622c7ba0
153beba610
hex26b07400

649098240 has 176 divisors, whose sum is σ = 2373078912. Its totient is φ = 148340736.

The previous prime is 649098217. The next prime is 649098251. The reversal of 649098240 is 42890946.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 649098192 and 649098201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104502 + ... + 110538.

Almost surely, 2649098240 is an apocalyptic number.

649098240 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 649098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186539456).

649098240 is an abundant number, since it is smaller than the sum of its proper divisors (1723980672).

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

649098240 is a wasteful number, since it uses less digits than its factorization.

649098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 649098240 is about 25477.4064614120. The cubic root of 649098240 is about 865.8383354510.

The spelling of 649098240 in words is "six hundred forty-nine million, ninety-eight thousand, two hundred forty".