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4287507642 = 2321135361343
BaseRepresentation
bin1111111110001110…
…0010110010111010
3102001210200221210100
43333203202302322
532240100221032
61545240100230
7211151133165
oct37743426272
912053627710
104287507642
111900205a50
129b7a64676
13534367392
142c95d4adc
151a161797c
hexff8e2cba

4287507642 has 48 divisors (see below), whose sum is σ = 10162983168. Its totient is φ = 1295543040.

The previous prime is 4287507641. The next prime is 4287507647. The reversal of 4287507642 is 2467057824.

It is a happy number.

4287507642 is a `hidden beast` number, since 4 + 2 + 87 + 507 + 64 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4287507641) 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, 39223 + ... + 100565.

It is an arithmetic number, because the mean of its divisors is an integer number (211728816).

Almost surely, 24287507642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287507642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081491584).

4287507642 is an abundant number, since it is smaller than the sum of its proper divisors (5875475526).

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

4287507642 is a wasteful number, since it uses less digits than its factorization.

4287507642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61715 (or 61712 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4287507642 is about 65479.0626231011. The cubic root of 4287507642 is about 1624.5570569618.

The spelling of 4287507642 in words is "four billion, two hundred eighty-seven million, five hundred seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 353 706 1059 2118 3177 3883 6354 7766 11649 23298 34947 61343 69894 122686 184029 368058 552087 674773 1104174 1349546 2024319 4048638 6072957 12145914 21654079 43308158 64962237 129924474 194886711 238194869 389773422 476389738 714584607 1429169214 2143753821 4287507642